The volume of a sphere, V(r), is a function if its radius r given by 4 V(+) = r %3D (a) Complete the table below. Give decimal approximations of the volumes rounded to one decimal place. (b) Find the net change in volume V as r changes from 1 cm to 3 cm. r in cm V(r) in cm 1 (c) Find the net change in volume V as r changes from 5 cm to 7 cm. 7 (d) Compare your answers from part (b) and part (c). What does their relative size tell you about how the volume of the sphere is changing? (e) Solve the equation V (r) = 33. Round your answer to one decimal place.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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1. The volume of a sphere, V (r), is a function if its radius r given by
4
V(*) =r3
(a) Complete the table below. Give decimal
approximations of the volumes rounded to
one decimal place.
(b) Find the net change in volume V as r
changes from 1 cm to 3 cm.
r in cm V(r) in cm
1
3
(c) Find the net change in volume V as r
changes from 5 cm to 7 cm.
7
(d) Compare your answers from part (b) and part (c). What does their relative size tell you
about how the volume of the sphere is changing?
(e) Solve the equation V (r) = 33. Round your answer to one decimal place.
Transcribed Image Text:1. The volume of a sphere, V (r), is a function if its radius r given by 4 V(*) =r3 (a) Complete the table below. Give decimal approximations of the volumes rounded to one decimal place. (b) Find the net change in volume V as r changes from 1 cm to 3 cm. r in cm V(r) in cm 1 3 (c) Find the net change in volume V as r changes from 5 cm to 7 cm. 7 (d) Compare your answers from part (b) and part (c). What does their relative size tell you about how the volume of the sphere is changing? (e) Solve the equation V (r) = 33. Round your answer to one decimal place.
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