Question

Find the radius of a cylindrical fire hose that is 200 ft long and has a volume of 39.25 ft3

Answer 1

Given,

The length of the fire hose = 200 ft.

Volume of the fire hose = 39.25 ft³

To find,

The radius of the fire hose.

Solution,

We can easily solve this mathematical problem by using the following mathematical process.

Let, the radius of the fire hose = r ft.

Volume = π×(r)²×200 ft³

According to the data mentioned in the question,

π×(r)²×200 = 39.25

(r)² = 39.25 × 1/200 × 7/22

(r)² = 274.75/4400

(r)² = 0.625 (approx)

r = 0.25 (approx)

Hence, the Radius of the fire hose is 0.25 ft.