Question

A cylindrical candle with radius 2 inches and height of 8 inches is lit. It loses 6 cubic inches of volume per hour. What is the height of the candle after 3 hours?

Answer 1

Answer:

R = 2 incheS

H = 8 inches

Find volume of the cylinder

V= A*h

V= piR^2*h

V= pi(2)^2 * 8

V= 4*8*pi

V= 32pi

V= 100.5 inch^3

Loses of candle per hour is 6 cubic inches

For 3 hour it will be 3*6 = 18 cubic inches

V1 after 3 hour = 100.5- 18

V1= 82.5 cubic inches

To find its h after 3 hour there is no change in the R so

82.5= pi*2^2*h

h= 82.5/4*pi

h= 6.57 inches is the height of the candle after 3 hour