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

Answer:

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

Step-by-step explanation:

We are given the following in the question:

Cylindrical bucket:

Radius, r = 6 inches

Height = 18 inches

Volume of bucket = Volume of cylinder

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

Spherical storage tank:

Radius, r = 15 inches

Volume of tank = Volume of sphere =

$V =\dfrac{4}{3}\pi r^3\\\\\V = \dfrac{4}{3}\times 3.14\times (15)^3\\\\V = 14130\text{ cubic inches}$

Number of baskets required =

$n = \dfrac{\text{Volume of tank}}{\text{Volume of bucket}}\\\\n =\dfrac{14130}{2034.72} = 6.94 \approx 7$

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