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The volume of a cylinder is V = π²h, where h is the height of the cylinder and r is the radius of the cylinder. 5t² and h = 2/12. Suppose that the height and radius both change over time t, according to the equations r = What is the rate of change of the cylinder's volume with respect to time? Select one alternative 20π t2 O 15πt² O 150πt² 0

The volume of a cylinder is V = π²h, where h is the height of the cylinder and r is the radius of the cylinder. 5t² and h = 2/12. Suppose that the height and radius both change over time t, according to the equations r = What is the rate of change of the cylinder's volume with respect to time? Select one alternative 20π t2 O 15πt² O 150πt² 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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= - The volume of a cylinder is V Tr²h, where h is the height of the cylinder and r is the radius of the cylinder. Suppose that the height and radius both change over time t, according to the equations r = 5t² and h 7/7. What is the rate of change of the cylinder's volume with respect to time? Select one alternative O 20TT 15πt² 4 150πt²
Transcribed Image Text:= - The volume of a cylinder is V Tr²h, where h is the height of the cylinder and r is the radius of the cylinder. Suppose that the height and radius both change over time t, according to the equations r = 5t² and h 7/7. What is the rate of change of the cylinder's volume with respect to time? Select one alternative O 20TT 15πt² 4 150πt²
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