Question

Find the volume of a cone with a base diameter of 10cm and a height of 12cm.

Answer 1

The Volume of Cone is V=1/3hπr².

V = 1/3 × h × π × r²

V = 1/3 × 12 × 3.14 × 5cm

V = 1/3 × 12 × 15.7

V = 4 × 15.7

V = 62.8cm³ ANS

→ we need to find the radius so r = d/2 = 10/2 = 5cm

Answer 2

Based on the diagram shown above, the volume of this cone is equal to 314 cubic centimeters.

In Mathematics and Euclidean Geometry, the volume of a cone can be calculated by using this formula:

V = 1/3 × π
`r^2`h

Where:

• V represents the volume of a cone.
• h represents the height.
• r represents the radius.

Note: Radius, r = diameter/2

Radius, r = 10/2 = 5 cm.

By substituting the given parameters into the volume of a cone formula, we have the following;

Volume, V = 1/3 × π
`r^2`h

Volume, V = 1/3 × 3.14 ×
`5^2` × 12

Volume, V = 3.14 × 25 × 4

Volume, V = 314 cubic centimeters.