Homework Help: Calculus

Posted by Rina on Sunday, November 6, 2011 at 6:51pm.

A certain calculus student hit Mrs. Evans in the head with a snowball. If the snowball is melting at the rate of 10 cubic feet per minute, at what rate is the radius of the snowball changing when the snowball is 1 foot in radius?

Calculus - Damon, Sunday, November 6, 2011 at 7:05pm
That is a pretty big snowball !

V = (4/3) pi r^3

dV/dt = (4/3) pi 3 r^2 dr/dt

10 = 4 pi r^2 dr/dt
since r = 1
dr/dt = 10/(4 pi)

note : using common sense we knew that. The rate of change of the volume is the surface area 4 pi r^2 times the rate of radius change

Answer this Question

Related Questions

MATH: Functions - The radius, r, in centimeters, of a melting snowball is given ...
calculus - Melting Snowball: A spherical snowball melts at a rate proportional ...
Calculus - A spherical snowball is melting so that its diameter is decreasing at...
physics - One strategy in a snowball fight is to throw a snowball at a high ...
calculus - A snowball has a radius of 3 inches. Assume the rate with which the ...
calculus - A spherical snowball is melting in such a way that its diameter is ...
Calculus - A snowball has a radius of 3 inches. Assume the rate with which the ...
Math (Calculus) - A spherical snowball is melting in such a way that its ...
Calculus - A spherical snowball is melting in such a way that its diameter is ...
physics - One strategy in a snowball ﬁght is to throw a snowball at a...

For Further Reading

First Name:
School Subject:
Answer: