A fast food restaurant sells milkshake in a container composed of a cylinder with a radius of 2 inches and a height of 3 inches surmounted by a hemispherical top of a radius 2 inches.

a.) Compute the volume of milkshake that it contains

b.) Compute the surface area of the container

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

(a) Volume = volume of the cylinder + volume of hemisphere

= pi r^2 h + 1/2 * 4/3 pi r^3

= pi 2^2 3 + 2/3 pi 2^3

= 12pi + 16pi/3

= 52pi/3

= 52pi/3 in^3

= 54.45 in^3 to nearest hundredth.

(b) Surface area  = area of base + area of curved part + area of the hemisphere

= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2

=  4pi + 8 pi + 12pi

= 24pi in^2

= 75.40 to nearest hundredth.


Related Questions

Measure the distance between lines c and d and the lengths of did”, ee”, ff “

Answers

Is there supposed to be a picture?

25 POINTSSSS PLEASE HELP ME I NEED HELP!!! PLZZZ
Which exponential function has the greatest average rate of change over the interval [0, 2]?

Answers

Answer:

I think its A

Step-by-step explanation:

How to cross multiply for sin

Answers

Answer:

What do you mean sin?

Step-by-step explanation:

Kensington was selling Girl Scout cookies and a customer offered her a deal. The customer would place three $1 bills, one $5 bill and one $10 bill in a bag. Kensington would reach into the bag and take one bill from the bag and get paid that instead of the $5 it would cost for one box of Girl Scout cookies. Should she take the deal? Or should she insist on getting the regular cost of $5?

Answers

Answer:

no she should take the deal

Step-by-step explanation:

there are 5 bills in that bag and only 1 of them has a chance of being over the regular price where as 3 have a chance of being under the regurla price the odds a not in the girl scouts favor as she has a 60%chance of not getting a $1 and only a 20% chance of getting the $10.

The scale on a map is 1 inch = 60 miles. If two cities are 2 3/4 inches apart on the map, how many miles are they apart?

Answers

Answer:

120.75 miles apart

Step-by-step explanation:

it would have to be 120.75

Can someone please explain to me how to tell if a number it's prime or not

Answers

Answer:

A prime number is a number that can only be divided by 1 and itself.

The following histogram shows the height of basketball players what would be the best estimate of average height ?


A. 75in
B. 82in
C. 85in
D. 80in

Answers

Answer:

D

Step-by-step explanation:

what is the slope of the line containing (2,-9) and (-5,-3)

Answers

Answer:

[tex] \huge \boxed{ \boxed{ - \frac{6}{7} }} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 3 - - 9}{ - 5 - 2} = \frac{ - 3 + 9}{ - 5 - 2} = - \frac{6}{7} \\ [/tex]

We have the final answer as

[tex] - \frac{6}{7} \\ [/tex]

Hope this helps you

What's the length of the diameter of the ferris wheel?

Answers

520 feet (158.5 m)
Ghhynny

PLEASE HELP ME ITS DUE TODAY!!
PLS SHOW WORK OR EXPLAIN!!

Answers

Answer:

(-3, -0.5)

first put the points, then just draw the line that goes throw that row of dots.

Step-by-step explanation:

so this isnt very complicated, you need to put the points on the coordinate plane (the grid) and find where they meet coordinates (written starting with the x and ending with the y are written like this: (x,y))

go to the bottom line (x axis) and find the number in the x row on the page, then take the vertical line and go until the two ends meet,repeat that until there are no more coordinates to graph on the left box draw a straight line for all of the coordinates do the same with the other box drawing a line whre the other coordinates. if done right the lines should intersect, and the intersecting point is the answer

please give answer please!!!!!!!!!!!!​

Answers

Answer:

All of them produce an angle of 90 degrees, therefore

90 degrees x 4 = 360 degrees

Please help me please​

Answers

Answer:

To be honest I don't know I just need some points 1+1=2

Step-by-step explanation:

Connections Academy Geometry10A semester exam. Does anyone have the answers im 1% away from passing.

Answers

Answer:

probably not, but if you were to post the questions without it saying on it that its an exam (because those get deleted all the time) people could help you through it. :)

Step-by-step explanation:

72 638 rounded to the nearest
is 72 600.

Answers

Answer:

hundreth

Step-by-step explanation:

Find how many solutions there are to the given equation that satisfy the given condition.
y1 +y2+y3+y4=27, each yi is a nonnegative integer.

Answers

Answer:

17550 solutions

Step-by-step explanation:

Given that:

y1 +y2+y3+y4=27

where;

(yi  ≥ 0 and yi [tex]\epsilon[/tex] [tex]{\displaystyle \mathbb {Z} }[/tex]  )

The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.

i.e

[tex]\bigg(^{27}_{4} \bigg)[/tex]

The number of nonnegative integer solution is [tex]\bigg(^{27}_{4} \bigg)[/tex]

[tex]= \dfrac{27!}{4!(27-4)!}[/tex]

[tex]= \dfrac{27!}{4!(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}[/tex]

[tex]= \dfrac{421200}{24}[/tex]

= 17550 solutions

what is the area of a rectangle with a length of 142 cm and a width of 23 cm?

Answers

Answer:

3,266

Step-by-step explanation:

Answer:

3266cm²

Step-by-step explanation:

try it it healps

plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.

Answers

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

what is the value of the expression below (81^2)^1/8

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{81^2=81\times81\rightarrow\bf{6,561}}[/tex]

[tex]\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}[/tex]

[tex]\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

c

Step-by-step explanation:

because I said so " But rearle you cant start a sentence with because"

ok then, The answer is C because I said so

the averages of the squared differences between the data values and the mean is known as​

Answers

Variance is the answer.

Explanation:

The variance is the average of the squared differences from the mean. To figure out the variance, first calculate the difference between each point and the mean; then, square and average the results.

PLZ HELPPPPPPPPPPPPP GIVING BRAINLIST Match each expression to its value.

1. -1 + 2
1
2. 1 + (-2)
-3
3. -1 - 2
3
4. 1 - (-2)
-1

Answers

Answer:

1 and 3, 2 and 4.

Step-by-step explanation:

1. -1.66666666667

2. 1

3. -1.66666666667

4. -1

Need ASAP plz plz plz

Answers

Answer:

12/7

Step-by-step explanation:

Consider u = ⟨5, –2⟩ and v = ⟨10, –4⟩. What is the relationship between u and v?

The vectors point in the same direction.
The vectors form an acute angle.
The vectors form an obtuse angle.
The vectors point in opposite directions.

Answers

Answer: A. The vectors point in the same direction

Step-by-step explanation:

edge2020

Answer:

A) The vectors point in the same direction.

Step-by-step explanation:

got it right on edge :)

Help me it’s not D !!!!

Answers

The answer to this is A.

Problem ID: PRABJVTY

Answers

Answer:

I'm confused too I'm sorry

What’s x, and y ? Show work.

Y = 6x + 11
2x - 3y = 7

can someone please help ?

Answers

2x - 3*(6x + 11) = 7
-16x + 33 = 7
-16x = -26
x = 13^8 or 1.625

कम्प्युटरको गति मापन गर्ने एकाइहरूलाई वर्णन गर्नुहोस् ।​

Answers

Answer:

मापनको एकाईलाई हर्ट्ज (हर्ट्ज) भनिन्छ, जुन प्रति सेकंड टेक्निकली एक चक्र हो, घडीको गति मापन गर्न प्रयोग हुन्छ। ... कम्प्युटरको घडी गति सामान्यतया मेगाहेर्ट्झ (मेगाहर्ट्ज) वा गिगाहर्ट्ज (GHz) मा मापन गरिएको छ। एक मेगाहेर्ट्ज प्रति सेकेन्ड १० लाख टिक्स बराबर हुन्छ, र एक गिगाहर्ट्ज बराबर एक सेकेन्ड टिक टिक प्रति सेकेन्ड।

three times the difference of two times m and five is equal to eight times m to the second power increased by four

Answers

Answer: 3*(2m-5)=8m^2+4

Step-by-step explanation:

The mathematical expression of the given statement is 3(2m-5) = 8m²+4.

What is an mathematical expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here, the given mathematical statement is given as :

three times the difference of two times m and five is equal to eight times m to the second power increased by four , which can be written as :

3(2m-5) = 8m²+4

Therefore, the mathematical expression of the given statement is 3(2m-5) = 8m²+4.

Read more about  mathematical expression at:

https://brainly.in/question/10133124

#SPJ2

what is 3 1/4 as an improper fraction a imprper fraction?​

Answers

Answer:

13/4

Step-by-step explanation:

3×4=12

12+1=13

Your welcome

Answer:

13/4

Step-by-step explanation:

X
-2
-1
0
1
2
у
N
3
4
5
6

Answers

Answer:

can you round it up? what is the question and what are we solving for?

Which of the following numbers
does NOT have the same value as
one quarter?

Answers

2/5 does not have the same value
Other Questions
1. Which of the following best summarizes a central idea of the text? A Teachers who pay extra attention to select students provide them an unfair advantage. B War can make heroes of even the least likely of candidates. C Success can just as often be attributed to chance as to skill. D Ignorance and luck are bliss. please help me solve step by step!! A motorcycle and its rider have a combined mass of 1250 kg. They travel insidea vertical loop with a radius of 7.13 m. At the lowest point, the speed is 22.7 m/s. How much force does the track exert on the motorcycle, at this lowestpoint, to keep the rider in the loop? How important is it for the petitioners to obtain land on Edisto Island as opposed to land elsewhere in the country? He should identify his variousonline and offline audiences,and how best to engage themTRUEFALSE Marcella and Juan are baking brownies. The recipe lists 2/3 cup of flour. Theyonly have 2/3 cup of flour left. How many more cups of flour do they need tobake the brownies? I WILL GIVE BRAINLY!!!!!!!!!Samuel earns $5 per hour plus 65% commission on all his sales. If y representshis sales for one day, which expression represents Samuels total earnings for aday when he worked 6 hours?A. 5(6) + 65yB. 5(65) + 6yC. 5(6) + 0.65yD. 5(6) + 1.65yPLSS SHOW YOUR WORK PLSSS HURRY! The question is in the picture!!! I need help please #23 The Sun's luminosity is greatest when there are few or no sunspots on the Sun. True or false Kendra washes windows in an office building. She washes 25 2 5 of the windows on Monday. She washes 13 1 3 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash? i need the ansewer to this but i scammed these points any wayWhich statement describes carbohydrates?Carbohydrates store and transmit an organisms genetic information.Carbohydrates provide energy to organisms.Carbohydrates help with an organisms tissue growth and repair.Carbohydrates provide an organism with long-term energy storage. 3. A few years ago the population of male blue moon butterflies on the island ofSamoa declined. One hypothesis for the decline of the male butterflies is that a parasite infected the cells of female butterflies. The parasite was passed tooffspring through the females' eggs and killed the male butterfly embryos. Atone point during the decline, nearly all the butterflies in the population werefemales, but after five years the number of males in the population increasedsignificantly.Blue Moon Butterfly.Which explantion most likely accounts for the increase in the number of male butterflies in the five years after the initial parasite problem. Please anwser this I need this answer. any thing will help I WILL GIVE BRAINLYEST!!Which of the following types of stars is the least bright? (5 points)A. Blue main sequenceB. Red giantC. White dwarfD. Yellow main sequence What new way did Americans want to approach the war? Based on what you have read about Frida Kahlo, prepare a point you would make in a group discussion. Write two to three sentences to explain what you would say to the group about how her creativity helped her Find the slope of a line with a y-intercept of -5 that goes through the point (12,3).Formula: y=mx+b Carol walks 12km at xkm/h and then a further 6 km at (x-1) km/h the total time taken is 5 hours . Write an equation in terms of x and show that it simplifies to 5x squared -23x+12=0 All the following are the basis of the World Wide Web except: Web browser programs Infrastructure Web servers HTML Georgia famers began raising what other items after the boll weevil and drought affected cotton production?vegetablestobaccofruitall of the above