Question

Find the volume of a cone with a base radius of 3 cm and a height of 11 cm.Use the value 3.14 for , and do not do any rounding.Be sure to include the correct unit in your answer.

Answer 1

Given:

a.) A cone with a base radius of 3 cm and a height of 11 cm.

For us to be able to determine the volume of the cone, we will be using the following formula:

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

Where,

r = base radius

h = height

π = 3.14

We get,

`\text{ Volume = }(1)/(3)\pi r^2h`
`\text{= }(1)/(3)(3.14)(3)^2(11)`
`\text{= }(1)/(3)(310.86)`
`\text{=}(310.86)/(3)`
`\text{ Volume = }103.62cm^3`

Therefore, the volume of the cone is 103.62 cm³