Question

Sid is packing crushed ice into a cone-shaped cup. The cone has a height of 5 in. Its base has a diameter of 4 in. What is the volume of the cone?

Answer 1

To find the volume of a cone, use the formula V = (1/3)πr²h. Plug in the given values to find the volume of the cone.

Step-by-step explanation:

To find the volume of a cone, we use the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Given that the cone has a height of 5 in and a base diameter of 4 in, we can find the radius by dividing the diameter by 2. So, the radius is 2 in.

Plugging the values into the formula, we get V = (1/3)π(2 in)²(5 in) = (1/3)π(4 in²)(5 in) = (1/3)π(20 in³) = 6.67π in³.

The volume of the cone is approximately 20.94 cubic inches.

Answer 2

Volume of cone = 20.94 in³.

Step-by-step explanation:

Given : The cone has a height of 5 in. Its base has a diameter of 4 in.

To find : What is the volume of the cone?

Solution : We have given

Height of cone = 5 in.

Diameter = 4 in.

Radius = 2 in.

Volume of cone =
`pi * radius^(2) * (h)/(3)`.

Volume of cone =
`3.14 * (2)^(2) * (5)/(3)`.

Volume of cone = 3.14 * 4 * 1.33 in³.

Volume of cone = 20.94 in³.

Therefore, Volume of cone = 20.94 in³.