Question

Find the volume (in $100c{m}^2$) of a cone whose slant height is $17$ cm and radius of base is $8$ cm.

Answer 1

Given $r=8cm$ $l=17cm$

$h=\sqrt{l^2-r^2}=\sqrt{{17}^2-8^2}=\sqrt{289-64}=15cm$

Volume : $\frac{1}{3}\pi r^{2}h=\frac{1}{3}\times \frac{22}{7}\times 8\times 8\times 15$

$=1005.71c{m}^2$