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May 23, 2013

# Homework Help: Calculus

Posted by L.S. on Wednesday, December 14, 2011 at 10:45pm.

A tumor is assumed to be roughly spherical. If the radius R is found to be increasing at the rate of 0.5 mm/day when the radius is R=2 mm, how fast is the volume changing at this time?

• Calculus - Reiny, Wednesday, December 14, 2011 at 11:42pm

V = (4/3)πr^3
given dr/dt = .5 when r = 2
dV/dt = 4πr^2 dr/dt
dV/dt = 4π(,25)(2)
= 2π mm^3/day

• Calculus - L.S., Thursday, December 15, 2011 at 10:49am

Great! Thank you!!

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