Question

A cone has base radius r cm and a fixed height 18 cm.The radius of the base is increasing at a rate of 0.1 cm s-1.Find the rate of change of the volume when r = 10.

Answer 1

Answer:

answer is 54pie cm^2 /min

Answer 2

Answer:



Step-by-step explanation:

v=1/3pier²

dv/dr=2/3pierh

when r=10,dv/dr=2/3pie(10)=20/3pieh

when h=18,dv/dr=20/3pie(18)=120pie

dv/dt=dv/dr×dr/dt

=120pie×0.1

=12pie cm²/