Question

A cone of height 24 cm has a plane base of surface area 154 cm². Find its volume.

Answer 1

Given:

Height h = 24 cm

Base (plane) area Ab = 154 cm²

Step-wise calculation:

1. Use the cone volume formula

`V = 1/3` × base area × height   ...`("Since"  V = 1/3 πr^2h)`.

2. Substitute values:

`V = 1/3 xx 154 xx 24`

3. Compute:

154 × 24 = 3696

4. Divide by 3:

`V = 3696/3`

= 1232

Volume of the cone = 1232 cm³.