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

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।

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:

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:

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

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

Answers

2/5 does not have the same value

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.

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

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

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:

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

72 638 rounded to the nearest
is 72 600.

Answers

Answer:

hundreth

Step-by-step explanation:

Problem ID: PRABJVTY

Answers

Answer:

I'm confused too I'm sorry

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

Answers

Is there supposed to be a picture?

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 :)

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.

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

Help me it’s not D !!!!

Answers

The answer to this is A.

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

How to cross multiply for sin

Answers

Answer:

What do you mean sin?

Step-by-step explanation:

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:

Need ASAP plz plz plz

Answers

Answer:

12/7

Step-by-step explanation:

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:

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?

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

Answers

520 feet (158.5 m)
Ghhynny

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

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

Answers

Answer:

All of them produce an angle of 90 degrees, therefore

90 degrees x 4 = 360 degrees

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

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:

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
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