) At time t, t 0, the volume of a sphere is increasing at a rate proportional to the reciprocal of its radius. At t = = 15, the radius is ), the radius of the sphere is 1 and at 2. (The volume V of a sphere with radius r is V = - 3 %3D (a) Find the radius of the sphere as a function of t. Squ %3D (b) At what time t will the volume of the sphere be 27 times its volume at t = 0? nilor t nolaupo ne sinW O)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Question
) At time t, t 0, the volume of a sphere is increasing at a rate proportional to the
reciprocal of its radius. At t =
= 15, the radius is
), the radius of the sphere is 1 and at
2. (The volume V of a sphere with radius r is V = -
3
%3D
(a) Find the radius of the sphere as a function of t.
Squ
%3D
(b) At what time t will the volume of the sphere be 27 times its volume at t = 0?
nilor t nolaupo ne sinW O)
Transcribed Image Text:) At time t, t 0, the volume of a sphere is increasing at a rate proportional to the reciprocal of its radius. At t = = 15, the radius is ), the radius of the sphere is 1 and at 2. (The volume V of a sphere with radius r is V = - 3 %3D (a) Find the radius of the sphere as a function of t. Squ %3D (b) At what time t will the volume of the sphere be 27 times its volume at t = 0? nilor t nolaupo ne sinW O)
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