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!!

Answer this Question

Related Questions

calculus - A spherical balloon is being inflated so that its volume is ...
Calculus - Air is being pumped into a spherical balloon and the volume is ...
Calculus - A spherical ball is being filled with air. When the radius r=9cm, the...
relaited rates - A spherical balloon is being inflated so that its volume is ...
Math - A spherical balloon is being inflated so that its volume is increasing at...
calculus - The radius of a spherical balloon is increasing at a rate of 2 ...
Calculus - a spherical balloon is inflated with gas at the rate of 500 cubic ...
health - A 72 year old man is diagnosed with a 7 cm primary tumor in his colon, ...
MATHS help plizzz - A spherical balloon is being inflated and its radius is ...
health - A 72-year-old man is diagniosed with a 7 cm primary tumor in his colon...

For Further Reading

First Name:
School Subject:
Answer: