Question

Please Helpp! The picture posted is the question I have . TIA

Answer 1

The equation for volume of a sphere is:

Volume = 4/3 * PI * r^3

r is the radius = 1 inch

Volume is given as 4 cubic inches per second increase.

Given: dv/dt = 4 cubic inches per second.

Need to find dr/dt

Formula for volume of a sphere is: V = 4/3 * π * r^3

so now we have:

4 in^3 = 4 * π *1^2

Divide both sides by 4 * π *1^2

4 in^3 / 4π = 1/π inch per second.

The answer is 1/π inch per second ( exact answer)

or as a decimal: 0.3183 ( round as needed).