Question

determine the volume of a conical vessel having radius of the base 5 cm and its slant height as 13 cm .(use π= 3•14).

Answer 1

${h}^{2} = {l}^{2} - {r}^{2} \\ =169 - 25 \\ = 144 \\ h = \sqrt{144} \\ h = 12$
so
$volume \: of \: a \: cone = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times 25 \times 12 \\ = 3.14 \times 25 \times 4 \\ = 3.14 \times 100 \\ = 314$
I hope it helps you