Question

Find the volume of a right circular cone that has a height of 11.1 cm and a base with a diameter of 17.2 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

Answer:

$2577.8\text{ cm}^3$

Step-by-step explanation:

GIVEN: A right circular cone that has a height of $11.1$ cm and a base with a diameter of $17.2$ cm.

TO FIND: Volume of cone.

SOLUTION:

radius of cone $=\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6\text{ cm}$

height of cone $=11.1\text{ cm}$

Volume of cone $=\frac{1}{3}\pi r^2h$

putting values we get

Volume of cone $=\frac{1}{3}\times3.14\times8.6\times8.6\times11.1$

                           $=2577.8\text{ cm}^3$

Hence the volume of cone is $2577.8\text{ cm}^3$