Gas escapes from a spherical balloon at rate of 720cm^3 per second. Find the rate of change of the curface area when the radius is 36cm.

Help me please . thank you very very much

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- Apr 27th 2009, 02:43 AMhelloyingRates of change
Gas escapes from a spherical balloon at rate of 720cm^3 per second. Find the rate of change of the curface area when the radius is 36cm.

Help me please . thank you very very much - Apr 27th 2009, 04:38 AMstapel
What is the formula for the volume V of a sphere having a radius of r?

What is the formula for the surface area SA of a sphere having radius r?

When r = 36, what is the surface area?

Note that you are given that dV/dt = -720.

Differentiate the "volume" formula with respect to time "t".

Plug in the known values for dV/dt and r. Solve for dr/dt.

If you get stuck, please reply showing how far you have gotten, starting with the "volume" and "surface area" formulas. Thank you! (Wink) - Apr 27th 2009, 04:42 AMcurvature