Question

A cone has a diameter of 12 in. and a height of 16 in.

What is the volume of the cone?
Use 3.14 as an approximation for straight pi and express your final answer in hundredths.

Answer 1

`\sf{Volume =(1)/(3)*\pi* r^2 * h}`

diameter is 12, that means the radius or r is 6.
h is height which is 16

Plugging that in to the formula you get:


`\sf{Volume =(1)/(3)*\pi* 6^2 * 16}`

Simplify that:


`\sf{Volume =(1)/(3)*\pi* 36 * 16}`

Simplify it more:


`\sf{Volume = \pi * 12* 16}`

Simplify it more:


`\sf{Volume =\pi*192 }`

Replace pi with 3.14 and solve


`\sf{Volume = 3.14*192 }`

Your final answer is:


`\Huge{\boxed{\bf{602.88}}}`