Question

The volume of a right circular cone is 110 $m^3$ and diameter is 2$\sqrt{15}$. Calculate i.) Slant height ii.) Curved Surface area and iii.) Height of the cone

Answer 1

Given Diameter = 2$\sqrt{15}$

Radius = $\frac{diameter}{2}$ = $\sqrt{15}$

$\frac{1}{3}$$\pi$ $r^2$h= 110

So, h= 7 m.

From the relation $l^2$ = $h^2$ + $r^2$,Slant Height l= 8m

Curved Surface area of the cone = $\pi$rl = 97.33 $m^2$