Question

if the areaof the base of a cone is 24cm^2 and its height is 6cm find the volume​

Answer 1

A cone is a three-dimensional geometric shape that has a circular base and tappers to a vertex.

Recall:

$\text{Volume of a cone } = \dfrac{1}{3} \times \text{base area} \times \text{height}$

Given:

$\text{Base Area }= 24 \text{ cm}^2$

$\text{Height }= 6 \text{ cm}$

Find the volume:

$\text{Volume of a cone } = \dfrac{1}{3} \times \text{base area} \times \text{height}$

$\text{Volume of a cone } = \dfrac{1}{3} \times \text{42} \times \text{6}$

$\text{Volume of a cone } = \dfrac{252}{3}$

$\text{Volume of a cone } = 84 \text { cm}^3$

Answer: The volume of the cone is 84 cm³