Question

A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.

Answer 1

`A=0.0192`

Explanation:

Diameter labeled twelve centimetres D =12cm => 0.12

height labeled thirty-two centimetres H= 32cm => 0.32

Generally the vertical cross section of this cone is a triangle

Mathematically solving

Area of vertical cross section through the center of the base of the cone is given by
`A=1/2 D*height`

`A=R*H`

Therefore

`A=(0.12)/(2) *0.32`

`A=0.06 *0.32`

`A=0.0192`