Question

What is the volume of the come with radius 5 m and height 6 m ? Express the answer in terms of pi.

A. 35pi m^3
B. 47pi m^3
C. 50pi m^3
D. 63pi m^3

Answer 1

C

Explanation:

The volume (V) of a cone is calculated using the formula

V =
`(1)/(3)` πr² h

where r is the radius and h the perpendicular height

here r = 5 and h = 6, hence

V =
`(1)/(3)` × π × 5² × 6

= 2π × 25 = 50π m³ → C

Answer 2

The volume of the cone is
`\( 50\pi \, \text{m}^3 \).`

How to get the volume of the cone

The formula for the volume v of a cone is given by:

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

The variables in the formula are:

r is the radius of the base of the cone.

his the height of the cone.

Given a cone with radius r = 5 meters and height h = 6 meters, substitute these values into the formula:

`\[ V = (1)/(3) * \pi * (5^2) * 6 \]\[ V = (1)/(3) * \pi * 25 * 6 \]\[ V = (1)/(3) * \pi * 150 \]\[ V = 50 \pi \]`

Therefore, the volume of the cone is
`\( 50\pi \, \text{m}^3 \).`