Question

A cone-shaped water tank is completely filled. The tank has a depth of 12 feet and a radius of 29 feet. A pump removes water from the tank at a rate of 1000 cubic feet per hour.

What is the volume of water in the tank before the water is pumped out?
Use 3.14 to approximate π and express your final answer to the nearest hundredth.
How many hours will it take to drain all the water?

Answer 1

Answer:

Volume = 10562.96  cu ft

10.56 hr. to drain all the water

Step-by-step explanation:

V = 1/3Bh        B = area of the base           h = height

The base is a circle, so $B = \pi r^{2}$

$V = \frac{1}{3} (3.14) (29^{2})(12)$ = 10562.96  cu ft

10562.96/1000  = 10.56 hr.