Question

a cylindrical bucket has a radius of 6 inches and a height of 18 inches. What is the minimum number of buckets of water needed to completely fill a spherical storage tank that has a radius of 15 inches?

Answer 1

Minimum 7 buckets of water is needed to completely fill spherical storage tank.

Explanation:

We are given the following in the question:

Cylindrical bucket:

Radius, r = 6 inches

Height = 18 inches

Volume of bucket = Volume of cylinder

`V = \pir^2 h \\V = 3.14* (6)^2* 18\\V =2034.72\text{ cubic inches}`

Spherical storage tank:

Radius, r = 15 inches

Volume of tank = Volume of sphere =

`V =(4)/(3)\pi r^3\\\\\V = (4)/(3)* 3.14* (15)^3\\\\V = 14130\text{ cubic inches}`

Number of baskets required =

`n = \frac{\text{Volume of tank}}{\text{Volume of bucket}}\\\\n =(14130)/(2034.72) = 6.94 \approx 7`

Thus, minimum 7 buckets of water is needed to completely fill spherical storage tank.