Question

A water tank is a compound shape consisting of a cylinder and an inverted cone as shown below. The cylinder has a diameter of 8 meters (m) and a height of 6 m. The cone has a diameter of 8 m and a height of 3 m.

What is the total volume of the tank in cubic meters? (Use
π
≈ 3.14.)
Answer Choices:
A: 301.44
B: 351.68
C: 200.96
D: 452.16

Answer 1

Explanation:

351.68

Answer 2

B: 351.68 cubic meters

Explanation:

Step 1

Find the Volume of the cylinder

The formula for the volume of a cylinder =

V = πr²h

diameter = 8 meters (m), Radius = Diameter ÷ 2 = 8 meters ÷ 2 = 4 meters.

height = 6 meters (m)

π = 3.14

V =( 3.14 × 4² × 6)

V = 301.44 cubic meters.

Step 2

Find the Volume of the cone

The formula for the volume of a cone =

V = πr²h/3

diameter = 8 meters (m), Radius = Diameter ÷ 2 = 8 meters ÷ 2 = 4 meters.

height = 3 meters (m)

π = 3.14

V = (3.14 × 4² × 3) ÷ 3

V = 50.24 cubic meters.

Step 3

What is the total volume of the tank in cubic meters?

This is calculated as the sum of the Volume of the cylinder + Volume of the cone.

Volume of the cylinder = 301.44 cubic meters.

Volume of the cone = 50.24 cubic meters.

Total Volume of the tank = 301.44 cubic meters + 50.24 cubic meters.

Total volume of the tank = 351.68 cubic meters

Therefore, the total volume of the tank = 351.68 cubic meters