Question

A spherical balloon with radius r inches has volume defined by the function below. Find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r + 4 inches. (Give the answer in terms of π and r.)

Answer 1

The function is V(r+4) - V(r) = (4/3) pi (r+4)^3 - (3/4) pi r^3
= (4/3) pi ( (r+4)^3 -r^3)
=(4/3) pi ( r^3 + 12r^2 + 48r + 64 - r^3)
=(4/3) pi (12r^2 + 48r + 64)

Answer 2

Whoa I am a little confused!

Answer 3

(r+4)^3=r^3+12r^2+48r+64

Answer 4

The amount of air required is the volume of the balloon you want it to be given by V(r) subtract to the volume of the balloon to begin with given by V(r)

So
V(r+4) - V(r)

Answer 5

V(r+4)=(4/3) pi (r+4)^3
V(r)=(4/3) pi r^3

Answer 6

I am going to try to understand this and get back to you

Answer 7

Okay it's sort of in the steps I'd do because the highest common factor is (4/3) pi that's why it's outside the brackets

Answer 8

Choose the correct answers.

Suzie Speedy is insured for bodily injury in the amount of 10/20.

Answer 9

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A graph is shown.

Answer 10

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Answer 11

Check please
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Answer 12

What is one purpose of Samuel Thurston's article?

Answer 13

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Answer 14

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Answer 15

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He is an apprentice training to learn a trade.

Answer 16

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Answer 17

Prompt
Write a short script (15u201320 lines) that creates an imagined scene between two or three characters.

Answer 18

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a.
a per curiam.
c.
a voting bloc.
b.
a swing vote.
d.
an amicus curiae.

Answer 19

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A.

Answer 20

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A.

Answer 21

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A.

founder's effect

B.

Answer 22

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Answer 23

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Answer 24

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Answer 25

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A.

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Answer 26

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Answer 27

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