Question

Jack is using a hose to fill a cylinder-shaped dunk tank with water. If the dunk tank is six feet tall and has a diameter of six feet, how long will it take to fill the tank if the hose flows at a rate of three cubic feet of water per minute? Round to the nearest minute :) (3.14 for pi please)

Answer 1

57 minute will take to fill the tank.

Solution:

Height of the cylinder = 6 ft

Diameter of the cylinder = 6 ft

Radius of the cylinder = 6 ÷ 2 = 3 ft

Volume of the cylinder = πr²h

                                      = 3.14 × 3² × 6

Volume of the cylinder = 169.56 cubic feet

Time taken to fill 3 cubic feet of water = 1 minute

Time taken to fill 169.56 cubic feet of water = $\frac{169.56}{3}$

                                                                         = 56.52 minute

                                                                         = 57 minute

Hence 57 minute will take to fill the tank.