Question

A cylindrical water tank has a radius of 6 feet and a height of 20 feet. A larger tank with the same height has a volume that is 3 times the volume of the smaller tank. What is the best approximation for the diameter of the larger tank?

Answer 1

Radius of large cylinder
`= 10.39 feet\\`

Explanation:

Volume of the larger tank is three times the volume of smaller tank

Volume of smaller tank

`= \pi r^(2) h\\= (3.14) * 6^(2) * 20\\= 2260.8 ft^(3) \\`

Volume of larger tank

`= 3 * 2260.8 ft^3\\= 6782.4 ft^3\\`

Or it can also be written as

`\pi r^(2) h = 6782.4 ft^3\\(3.14) * ( r^2) 20 = 6782.4 ft^3\\r^2 = 108\\r = 10.39`