Posted by **Tim** on Thursday, December 29, 2011 at 12:37am.

The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At the instant when the surface area S becomes 100pi square inches, what is the rate of increase, in cubic inches per second, in the volume V?

- math -
**Steve**, Thursday, December 29, 2011 at 4:48am
V = 4/3 pi r^3

dV/dt = 4pi r^2 dr/dt

= A dr/dt

plug in the values given:

dV/dt = 100pi * .3 = 30pi

- math - extra credit -
**Steve**, Thursday, December 29, 2011 at 4:49am
what is the volume of a cylinder of mozarella cheese, with radius z, and height a?

(don't use any exponents in your answer)

- math -
**Tim**, Thursday, December 29, 2011 at 2:48pm
V = pir^2h

V = pizza

:)

- math -
**Anonymous**, Sunday, April 10, 2016 at 11:00am
22.5

## Answer This Question

## Related Questions

- Calculus - A spherical water balloon is being filled with water at the rate of ...
- calculus - A spherical balloon is being inflated at a rate of 10 cubic inches ...
- math - A cone of fixed height 12 inches is changing in shape through the change...
- Calculus - A spherical balloon is being inflated at a rate of 10 cubic inches ...
- Calculus (Parts A and B done, just help with C) - The radius, r, of a sphere is ...
- Calculus - At a certain instant, each edge of a cube is 5 inches long and the ...
- Calculus Homework - You are blowing air into a spherical balloon at a rate of 7...
- calculus help please - At the instant when the radius of a cone is 3 inches, the...
- calculus - At the instant when the radius of a cone is 3 inches, the volume of ...
- AP calculus AB - At the instant when the radius of a cone is 3 inches, the ...

More Related Questions