Question

A cone has a height of 30in. and a diameter of 20in. What is the approximate volume of the cone?

Answer 1

The volume of the cone is equal to 1000π in³ in terms of π or is approximately equal to 3140 in³

Explanation:

To find the volume of a cone with a height of 30 in. and diameter of 20 in., we will follow the steps below;

First write down the formula for finding the volume of a cone

V = πr²
`(h)/(3)`

where v is the volume of the cone, r is the radius of the cone and h is the height of the cone.

From the question given, the height h of the cone is 30 in and the diameter is given to be 20 in. but radius is half of diameter, this implies that r=d/2=20/2=10 in., that is radius r = 10 in

We can proceed to inert the values into the formula

V = πr²
`(h)/(3)`

=π×10²×
`(30)/(3)`

=π×100×10

=1000π

v =1000π in³ in terms of π

substituting π = 3.14

v ≈1000(3.14)

v≈3140 in³

Therefore the volume of the cone is equal to 1000π in³ in terms of π or is approximately equal to 3140 in³