Question

@mayankdevnani

Answer 1

If the radius of a sphere is increasing at 1 cm/s, find the rate of change of its volume when the radius is 6 cm.

Going to try this one first and see if I get it

Answer 2

V = 4/3 \(\pi r^3\)

dV/dt = 4/3 \(\pi (3r^2)\)dr/dt

dV/dt = 4 \(\pi r^2\)dr/dt
r = 6
dr/dt = 1cm/s
dV/dt = 4*\(\pi\)*36*1cm/s
dV/dt = 144\(\pi\)cm^3/s?

Answer 3

plz help my question

Answer 4

Did I do it right?

Answer 5

That's correct :)

Answer 6

Yay! :)