Question

The volume of a cone is 462 m cube and base radius is 7 m find height

Answer 1

Answer : 9 m

Solution :
__________

Given that : The volume of cone = 462 m³

and the radius of its base = 7 m

As we know that : Volume of the cone

$\frac{1}{3} \pi {r}^{2} h$

Now, according to the question :

$\frac{1}{3} \times \frac{22}{7} \times {(7)}^{2} \times h = 462 \\ \\ = > \frac{1}{3} \times \frac{22}{7} \times 7 \times 7 \times h = 462 \\ \\ = > h = \frac{462 \times 3}{22 \times 7} \\ \\ = > h = 9 \: m$

So, the height of the cone will be 9 m