The volume V of a growing spherical cell is V = 43𝜋r3, where the radius r is measured in micrometers (1 µm = 10−6 m).(a)Find the average rate of change of V with respect to r (in µm3/µm) when r changes from 3 µm to each of the following. (Round your answers to one decimal place.)

A spherical balloon is released from rest and expands as it rises. After rising for t seconds, its radius is r cm, and its surface area is A cm2, where A = 4r2. The initial radius of the balloon is 16 cm. Given that the rate of increase of the radius is constant and has the value of 0.8 cm s– 1, find the rate of increase of A when t = 5.

A spherical snowball is melting in such a way that it maintains its shape. The volume of the snowball is decreasing at a constant rate of 5 cubic inches per minute. At the instant when the radius of the snowball is decreasing at a rate of 3 inch per minute, what is the radius of the snowball, in inches? (The volume V of a sphere with radius r is V = Tr3.)

If the radius of the sphere is increased by 100100% then by what percentage will its volume increase?

Find the percentage increase in the volume of a sphere, if its radius increases by 200%.

When the radius of a sphere is doubled, what is the resulting change in volume?ResponsesA The original volume is doubled.The original volume is doubled.B The original volume is multiplied by 4.The original volume is multiplied by 4.C The original volume is multiplied by 8.The original volume is multiplied by 8.D The original volume is multiplied by 10.