Question

A cylindrical tank holds 14,130 in3 of water. Ida empties the tank into 25 identical smaller cylinders, each with a radius of 3 in. What is the height of the 25 smaller cylinders? Use 3.14 to approximate pi.

Answer 1

Given:
Cylindrical tank volume : 14,130 in³
smaller cylinder : 25 pcs
radius of small cylinders: 3 inches.

Volume of a cylinder = π r² h

14,130 in³ ÷ 25 pcs = 565.20 in³ volume per small cylinder.

565.20 in³ = 3.14 * (3in)² * h
565.20 in³ = 3.14 * 9in² * h
565.20 in³ = 28.26 in² * h
565.20 in³ ÷ 28.26 in² = h
20 in = h

The height of the small cylinder is 20 inches.