Question

Diameter of a right circular cone is 14m while its slant height is 9 m. Find volume of cone

Answer 1

Answer :

Radius of cone (r) = 7 m

Slant Height (l) = 9 m

$\: {l}^{2} \: = {r}^{2} + {h}^{2}$

=> 9^2 = 7^2 + h^2

=> 81 - 49 = h^2

${h} = \sqrt{32} = 4 \sqrt{2}$

$vol. \: of \: cone = \pi {r}^{2}h \div 3$

$vol. \: of \: cone = \frac{1}{3} \times \frac{22}{7} \times 7 \times 7 \times 4 \sqrt{2}$

Volume of cone = 290.385 cubic cm

Hope this helps you