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

What’s 9 times 9

Just gave you 100 for free your welcome

Answers

Answer:

81!    THANK YOU<3333333333333

Answer: 81

Step-by-step explanation: 9 x 9 = 81 Obviously

Question 5
5 pts
Let f(x)
40e^.06t. What is the average rate of change of f over the
interval [0,3]? Give your answer as a decimal with one place of
accuracy to the right of the decimal point.

Answers

Answer:

[tex]R= 2.6[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 40e^{.06t[/tex]

[tex][a,b] = [0,3][/tex]

Required

Determine the average rate of change (R)

This is calculated as follows:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a = 0[/tex] and [tex]b = 3[/tex]

Substitute 0 for a and 3 for b

[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]R = \frac{f(3) - f(0)}{3}[/tex]

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

Calculate f(3)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(3) = 40e^{.06*3}[/tex]

[tex]f(3) = 40e^{0.18}[/tex]

[tex]f(3) = 40 * 1.197[/tex]

[tex]f(3) = 47.88[/tex]

Calculate f(0)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(0) = 40e^{.06*0}[/tex]

[tex]f(0) = 40e^{0}[/tex]

[tex]f(0) = 40*1[/tex]

[tex]f(0) = 40[/tex]

So, the expression:

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

[tex]R= \frac{1}{3}[47.88 - 40][/tex]

[tex]R= \frac{1}{3}[7.88][/tex]

[tex]R= 2.62666666667[/tex]

[tex]R= 2.6[/tex]

Hence, the average rate of change is approximately 2.6

What is 86% of 950? *

Answers

Answer:86%of 950= 817

Step-by-step explanation:

Answer:

817

Step-by-step explanation:

Can someone please help me this is due in 2 mins?!?!?

Answers

Answer:

2

Step-by-step explanation:

the two sides are 3 and its equal to 8..its 2

Rob is setting up a model train track that is 3 and 3 over 8 feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 3 over 8 foot apart. How many telephone poles does he need? (Input number values only.

Answers

Answer:

9?

Step-by-step explanation:

Answer:

sorry dont understaand

Step-by-step explanation:

1
2
3
4
5
6
9
Which expression is equivalent to 5(w+4) when w=g?
O 5(9)
O 915)
05(9)+4
O 5(9) +20

Answers

5(9)+4 because they are just substituting

What is the answer, Please Help.

Answers

Answer:

r=144

Step-by-step explanation:

Cross multiply:

12 * 60 = r * 5

Simplifying

12 * 60 = r * 5

Multiply 12 * 60

720 = r * 5

Reorder the terms for easier multiplication:

720 = 5r

Solving

720 = 5r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-5r' to each side of the equation.

720 + -5r = 5r + -5r

Combine like terms: 5r + -5r = 0

720 + -5r = 0

Add '-720' to each side of the equation.

720 + -720 + -5r = 0 + -720

Combine like terms: 720 + -720 = 0

0 + -5r = 0 + -720

-5r = 0 + -720

Combine like terms: 0 + -720 = -720

-5r = -720

Divide each side by '-5'.

r = 144

Simplifying

r = 144

Answer:

r=144

Step-by-step explanation:

We need to find r. To do that me must make the top numbers the same.

We'll multiply

[tex] \frac{12}{r} \times \frac{5}{5 } = \frac{60}{5r} [/tex]

[tex] \frac{5}{60} \times \frac{12}{12} = \frac{60}{720} [/tex]

Since the top numbers are equal that means the bottoms are too.

So we can create the equation:

[tex]5r = 720[/tex]

Divide each side by 5

r=144

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

HELP!
Mylo started making this graph to relate the number of hours he works with the amount of money he is paid.

A point representing which information could be added to the graph to show a proportional relationship?

A. $16 for working 2 hours
B. $36 for working 4 hours
C. $40 for working 5 hours
D. $58 for working 6 hours

Answers

Answer:

the answer is B. $36 for working 4 hours

Step-by-step explanation:

took the test.

Answer:

B

Step-by-step explanation:

the first person was right i also got it on the test


If Sharpie markers are on sale for 10 markers for $8.00, how many markers can be bought for $24.00?

Answers

Answer:

30 markers

Step-by-step explanation:

We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!

Y=-1/4x +9 what is the slope and y - intercept

Answers

Well your slope is -1/4 and your y-intercept is 9

Answer:

The slope is -1/4 and the y intercept is at (0, 9)

Step-by-step explanation:

In the equation y = mx + b, m is the slope and b is the y intercept.

Since -1/4 is the coefficient to x in the equation, the slope is -1/4.

Since there is a +9 at the end of the equation, the y intercept is (0, 9).

So, the slope is -1/4 and the y intercept is at (0, 9)

what is the BEST ANSWER for the slope of the line that contains the following points:


(14, 5) and (54, 12)

Answers

Answer:

7/40

Step-by-step explanation:

12-5=7

54-14=40

7/40

plssss help due in 5 minutes

Answers

Answer:

-5 is the y intercept

Step-by-step explanation:

(0, -5). The y intercept is where the parabola crosses the y axis. As you can see, it crosses at (0,-5).

What is the equation of the line through (2, -4) and (0, 4)?
OA. y= 4x- 4
O B. y= -4x- 4
Oc. y= -4x+ 4
OD.y= 4x+ 4

Answers

Answer: C

m = slope

m = (y2 - y1) / (x2 - x1)

2 points:
(2, -4) x1 = 2 and y1 = -4
(0, 4) x2 = 0 and y2 = 4

m = (4 - (-4)) / (0- 2)

m = 8 / -2

m = -4

Equation of the line is : y = mx + b

So we got...

y = -4x + b

Then we can use any of the two points given to solve for b. I’m going to use (0, 4).

y = -4x + b

4 = -4(0) + b

4 = 0 + b

4 = b

Therefore the equation of the line is
y = -4x + 4

I need help with problem 8 with work shown and explanation
ASAP PLEASE!!!!!!!!

Answers

Answer:

6 movies = 1st plan

7 movies = 1st plan

8 movies = Either is fine. (They're the same price)

9 movies = 2nd plan

10 movies = 2nd plan

Step-by-step explanation:

6 movies (1st plan) = 20 + 5 × 6

                               = 50 (less than 60 so it is cheaper)

7 movies (1st plan) = 20 + 5 × 7

                               = 55 (less than 60 so it is cheaper)

8 movies (1st plan) = 20 + 5 × 8

                               = 60 (same as 2nd plan so either is fine)

9 movies (1st plan) = 20 + 5 × 9

                               = 65 (more than 60 so 2nd plan is better)

10 movies (1st plan) = 20 + 5 × 10

                               = 70 (more than 60 so 2nd plan is better)

ASAP please help me I need this quick
The question and answers are in the picture

Answers

Answer:

25

Step-by-step explanation:

maybe this will help you

Answer:

C. 125 cm^3

Step-by-step explanation:

Hope this helps!! Brainliest please :)

Please help me

Solve the inequality.
12 - }>8-23

Answers

Answer:

Letter D

Step-by-step explanation:

D KO PO SURE SORRY PO KUNG MALI ✌

I think it’s D I’m not sure though

a square and rectangle are shown below the width of the rectangle is the same length at a side of the square both represented by x the length of the rectangle is one foot more than twice its width the perimeter of the rectangle is 26 feet more than that of the square write an expression for the length of the rectangle in terms of x label of the drawing

Answers

Answer:

The answer for the length of the rectangle in terms of x is 2x+1=26

Step-by-step explanation:

What is the value of the function at x = 22 Enter your answer in the box .please help.​

Answers

Answer:

its gonna be whatever the y value is when x is 22

Step-by-step explanation:

Joshua has a bag of marbles. In the bag are 5 white marbles, 3 blue marbles, and 7 green marbles. Peter randomly draws one marble, sets it aside, and then randomly draws another marble. What is the approximate probability of Peter drawing out two green marbles

Answers

Answer:

1 / 5

Step-by-step explanation:

Given that:

Number of white marbles = 5

Number of blue marbles = 3

Number of green marbles = 7

Required is the approximate probability of drawing 2 green marbles, Note that drawing is done without replacement :

Probability = required outcome / Total possible outcomes

Total possible outcomes = sum of all marbles = (5 + 3 + 7) = 15 marbles

First draw:

P(Green) = 7 / 15

Second draw:

Required outcome = 7 - 1 = 6

Possible outcomes = 15 - 1 = 14

P(green) = 6 / 14

Probability of drawing out two green marbles :

(7/15 * 6/14) = 42 / 210 = 1 / 5

Four more than twenty-six time a number is equivalent to 12 times the same number less 15.
What is the number?

Answers

Answer:

n = -19/14

Step-by-step explanation:

Please transcribe this into a symbolic equation:

26n + 4 = 12n - 15

Then 14n = -19, or n = -19/14.

help child.......help me

Answers

my answer:

-2.9d+4.8h-16

Explanation:

Which number is a zero of the function f?
f(x) = x2 - x - 6
F 6
G2
H 3
IO

Answers

Answer:

zeros of the function are −2 and 3

Step-by-step explanation:

there is no -2 so H.3

the answer is a. 6...........

Pls hurry I’m being timed

Answers

I believe the answer is “A”

Answer:

I think the answer is A

Step-by-step explanation:

makes sense

Evaluate the given expression for x=-14. -3x-5

Answers

Answer:

The answer is: 37

Step-by-step explanation:

The reason its this answer because first thing you have to do is the order operations Please Excuse My Dear Aunt Sally, since there is no parenthesis, or exponents we cross those out. Since, there is multiply we put in -14 where is x.

-3x-5=-3(-14)=5

Next, we multiply -3 and -14 and we get:

42, there reason its not a negative because two negatives equal to a positive.

There is Division or Addition, those are out. The only thing that is left Subtraction... So we are going to subtract 42-5 which equals;

37

I hope my answer helps!!

Chan Hee bought 9.8 pounds of coffee that cost $7.45 per pound. How much did he spend on coffee?

Answers

9.8 x 7.45 = $73.01 ...

There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up?

Explain your answer using complete sentences.

Answers

Answer:

2 rows of 41

Step-by-step explanation:

....... i think

I have the same question, and I have nothing in my brain....-_-''

What is the coefficient in the following expression?
5a2 - 7

Answers

Can you show a picture of the question so I can get better understanding!!!

Answer:

5 is the coefficient

Step-by-step explanation:

Using the table below,which statement best describes whether or not the relationship identifies a function?

Answers

Answer: I'm pretty sure the correct answer is (B)  Let me know if i'm correct!

Step-by-step explanation:

In a small private liberal arts college, 40 percent of the students receive financial aid, and 30 percent of the students that receive financial aid also are first generation college students. In addition, 25 percent of the students in the college own a hybrid car. What is the probability that a randomly selected student receives financial aid and is first generation college student

Answers

Answer:

P(A∩B) = 0.12

Step-by-step explanation:

Given:

Students receive financial aid P(A) = 40% = 0.4

Students receive financial aid and first generation P(B/A) = 30% = 0.3

Find:

Probability [Selected student receives financial aid and is first generation college student] P(A∩B)

Computation:

P(A∩B) = P(A) x P(B/A)

P(A∩B) = 0.4 x 0.3

P(A∩B) = 0.12

Choose the one alternative that best completes the statement or answers the question

Answers

Answer:

B) 60

Step-by-step explanation:

5*2*3*2=60 types by multiplying all the categories together.

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