9-32. Hernando needs to replace the hot water tank at his house. He estimates that his family needs a tank that can hold at

least 75 gallons of water. His local water tank supplier has a cylindrical model that has a diameter of 2 feet and a height

of 3 feet. If 1 gallon of water is approximately 0.1337 cubic feet, determine if the supplier's tank will provide enough

water.

Question

Mathematics

Moon

4 September, 13:16

9-32. Hernando needs to replace the hot water tank at his house. He estimates that his family needs a tank that can hold at

least 75 gallons of water. His local water tank supplier has a cylindrical model that has a diameter of 2 feet and a height

of 3 feet. If 1 gallon of water is approximately 0.1337 cubic feet, determine if the supplier's tank will provide enough

water.

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Answers (1)

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Nikolas · Answer 1

The suppliers tank won't deliver enough water.

Step-by-step explanation:

Hernando needs at least 75 gallons of water. His supplier has a cylindrical model that has a diameter of 2 ft and height of 3 ft. The volume of water at which his supplier tank can accommodate can be computed as follows.

Since the suppliers model is a cylinder we will use volume of a cylinder formula.

volume = πr²h

where

r = radius = 2/2 = 1 ft

h = height = 3 ft

volume = π * 1² * 3

volume = 3.14 * 3

volume = 9.42 ft³

The suppliers volume of water is 9.42 ft³ and Hernando needs at least 75 gallons of water.

Since

0.1337 ft³ = 1 gallon of water

9.42 ft³ = ? gallon of water

cross multiply

gallon of water = 9.42/0.1337

gallon of water = 70.4562453254

gallon of water = 70.47 gallons.

The suppliers tank won't deliver enough water.