Question

Find the volume of a cone with a base radius of 6 cm and a height of 10 cm write in terms of pie

Answer 1

• Volume of the cone is 120 π cm³

Explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

`\\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_((cone)) = (1)/(3) \pi r^2 h }}}} \\ \\`

On Substituting the required values, we get:

`\\ \: \: \dashrightarrow \: \: \sf \: Volume_((cone)) = (1)/(3) * \pi * {(6)}^(2) * 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_((cone)) = \frac{1} {\cancel{3}} * \pi * \cancel{36} * 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_((cone)) = \pi * 12 * 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_((cone)) =120 \pi \: cm^3 }}\\ \\`

• Volume of a cone is 120 π cm³