Question

Find the volume of the cone. Use π = 3.14. Round to the nearest hundredth.

a. 785.0 cm³
b. 7850.0 cm³
c. 2616.67 cm³
d. 261.67 cm³

Answer 1

Given:

Given that the radius of the cone is 10 cm.

The height of the cone is 25 cm.

We need to determine the volume of the cone.

Volume of the cone:

The volume of the cone can be determined using the formula,

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

where r is the radius and h is the height of the cone.

Substituting r = 10 and h = 25, we get;

`V=(1)/(3)(3.14)(10)^2(25)`

Simplifying, we have;

`V=(1)/(3)(3.14)(100)(25)`

Multiplying, we get;

`V=(1)/(3)(7850)`

Dividing, we get;

`V=2616.67 \ cm^3`

Thus, the volume of the cone is 2616.67 cubic cm.

Hence, Option c is the correct answer.