Question

Find the volume of the right cone.

a
7560 cm3
b
30,200 cm3
c
11,300 cm3
d
22,700 cm3

Answer 1

The volume of the cone is a. 7,560 cm³.

Explanation:

Step 1:

The volume of a cone is determined by multiplying
`(1)/(3)` with π, the square of the radius (r²) and height (h).

Here we substitute π as 3.1415.

The volume of the cone
`= (1)/(3) \pi r^(2) h.`

Step 2:

The diameter of the cone is 38 cm so the radius is 19 cm. The height is 20 cm.

The volume of the cone
`= (1)/(3) \pi r^(2) h = (1)/(3) (3.1415) (19^(2)) (20),`

The volume of the cone =
`(1)/(3) (22,681.63) = 7,560.5433.`

The volume of the cone is 7,560.5433 cm³ which if rounded off is equal to option a.