Question

The volume of a cone is 462 m³. Its base radius is 7 m. Find its height.

Answer 1

Hi,

Answer: height of cone 9 m.

Solution:

We know that Volume of a cone is expressed as V =$\frac{1}{3} \times b \times h$
here b is base area. As base of a cone is circle,so area of base = $\pi {r}^{2}$

Now,the combine formula is given as V cone
$= \frac{1}{3} \pi {r}^{2} h$
A.T.Q.
V cone = 462 m³
Radius = 7 m

$h = \frac{3 \times volume}{\pi {r}^{2} } \\ \\ h = \frac{3 \times 462}{3.14 \times 49} \\ \\ h = \frac{1386}{153.9} \\ h = 9.0058 \: m \\ \\ or\\ h = 9 \: m$
hope it helps you.