Question

If the height of a cone is 14.7 and the radius is 2 what is the volume

Answer 1

61.5752159 units³

Explanation:

The height of a cone can be found using the following formula:

`v=(1)/(3) \pi r^2h`

We know that the height is 14.7 and the radius is 2.

`h=14.7 \\r=2`

Substitute the values into the formula.

`v=(1)/(3) \pi (2)^2(14.7)`

Evaluate the exponent.

⇒ 2²= 2*2 = 4

`v=(1)/(3) \pi (4)(14.7)`

Multiply 4 and 14.7

`v=(1)/(3) \pi (58.8)`

Multiply 1/3 and pi.

`v=1.04719755*58.8`

Multiply the two numbers together.

`v=61.5752159`

Add appropriate units. Volume is cubic units, and we aren't given units. So, we should use cubic units.

`v=61.5752159 units^3`

The volume of the cone is 61.5752159 cubic units.

Answer 2

volume = 174.8 sq. units.