## 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 l

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 ðŸ™‚ (3.14 for pi please)

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1 week 2021-09-15T00:04:44+00:00 1 Answer 0

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 Ã· 2 = 3 ft

Volume of the cylinder = Ï€rÂ²h

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  = 3.14 Ã— 3Â² Ã— 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 =

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â = 56.52 minute

Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â = 57 minute

Hence 57 minute will take to fill the tank.