Question

The volume of solid right cylinder cone is $4928cu.cm$. If a height is $24cm$, then find the radius of the cone. (Take $\pi =\frac{22}{7}$)

Answer 1

Let $r,h$ and $V$ be the radius, height, and volume of a solid cone respectively.

Given that $V=4928cu.cm$ and $h=24cm$

Thus, we have $\frac{1}{3}\pi r^{2}h=4928$

$\Rightarrow \frac{1}{3}\times \frac{22}{7}\times r^2\times 24=4928$

$\Rightarrow r^2=\frac{4928\times 3\times 7}{22\times 24}=196$

Thus, the base radius of the cone, $r=\sqrt{196}=14cm$