Oil has spilled in the ocean. The volume of oil in a spill in the shape of a cylinder of height 3 inches and radius r(t) inches is given by the formula V = 3rr?. Which is the correct expression for AP dt AP = 0 dt dr 67T dt dV dt dV = 6r dt dr dh dt dt AP 6Tr dt dt dr = 37Tr2. dt dV dt Suppose that the radius of the spill is expanding at a rate of 0.4 inches per second. How fast is the volume changing when the radius of the spill is 2.6 inches? Round your answer to the nearest hundreth cubic inch per second. cubic inches per second

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 13A: A vessel is in the shape of a right circular cone. This vessel contains liquid to a depth of 12.8...
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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 3 inches and
radius r(t) inches is given by the formula V = 3rr".
dV
Which is the correct expression for
dt
dV
= 0
dt
dr
6Tr
dt
dV
dt
dr dh
= 6Tr
dV
dt
dt dt
AP
6Tr
dt
dt
dV
dr
37rr2
dt
dt
Suppose that the radius of the spill is expanding at a rate of 0.4 inches per second. How fast is the volume
changing when the radius of the spill is 2.6 inches? Round your answer to the nearest hundreth cubic inch
per second.
cubic inches 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 3 inches and radius r(t) inches is given by the formula V = 3rr". dV Which is the correct expression for dt dV = 0 dt dr 6Tr dt dV dt dr dh = 6Tr dV dt dt dt AP 6Tr dt dt dV dr 37rr2 dt dt Suppose that the radius of the spill is expanding at a rate of 0.4 inches per second. How fast is the volume changing when the radius of the spill is 2.6 inches? Round your answer to the nearest hundreth cubic inch per second. cubic inches per second ||
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