Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 20 cm

0.08 cm/min

Step-by-step explanation:

Given:

Find when diameter D = 20 cm.

We know that the volume of a sphere is given by

Taking the time derivative of V, we get

Solving for , we get

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.