Oil has spilled in the ocean. The volume of oil in a spill in the shape of a cylinder of height 5 inches and radius r(t) inches is given by the formula V = 5². Which is the correct expression for dV dt dV dt dV dt dV dt dv = = 0 10πr dt 10πη dr dt dr dh dt dt dr 10πη. dV dt -?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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Oil has spilled in the ocean. The volume of oil in a spill in the shape of a cylinder of height 5 inches and radius
r(t) inches is given by the formula V
5пр2.
=
Which is the correct expression for
dV
dt
dV
dt
dV
dt
dV
dt
dV
dt
-
0
10πη
dt
10πη.
10πη
dr
dt
5пр2
dr dh
dt dt
dr
dt
dV
cubic inches per second
dt
-?
Suppose that the radius of the spill is expanding at a rate of 0.8 inches per second. How fast is the volume
changing when the radius of the spill is 2.3 inches? Round your answer to the nearest hundreth cubic inch per
second.
Transcribed Image Text:Oil has spilled in the ocean. The volume of oil in a spill in the shape of a cylinder of height 5 inches and radius r(t) inches is given by the formula V 5пр2. = Which is the correct expression for dV dt dV dt dV dt dV dt dV dt - 0 10πη dt 10πη. 10πη dr dt 5пр2 dr dh dt dt dr dt dV cubic inches per second dt -? Suppose that the radius of the spill is expanding at a rate of 0.8 inches per second. How fast is the volume changing when the radius of the spill is 2.3 inches? Round your answer to the nearest hundreth cubic inch per second.
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