Question

Find the volume of the following cone. Use 3.14 for π.

Height =48
Radius = 14
length of slant = 50

Question 2 options:


9847.04 cubic meters


39388.16 cubic meters


10257.33 cubic meters


41029.33 cubic meters

Answer 1

Option A.

Explanation:

Given information:

Height =48

Radius = 14

length of slant = 50

Volume of a cone is

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

where, r is radius, h is height and π=3.14.

Substitute the given values in the above formula.

`V=(1)/(3)(3.14) (14)^2(48)`

`V=(3.14) (196)(16)`

`V=9847.04`

The value of cone is 9847.04 cubic meters.

Hence, the correct option is A.

Answer 2

9847.04 cubic meters

Explanation:

Formula of Volume of Cone is:

Volume of Cone =
`(1)/(3)\pi r^2 h`

We only need radius = 14 and height = 48, we don't need the slant height given. So we plug in r = 14 and h = 48 into the formula and figure out the volume.

`V=(1)/(3)\pi (14)^2 (48)\\V=(1)/(3)(3.14) (14)^2 (48)\\V=9847.04`

Hence the volume is approximately 9847.04 cubic meters. First option is correct.