Question

Find the volume of each cone. Round your answer to the nearest tenth, if necessary. Do not include units (i.e. in, ft, cm, etc.). (FR)

Answer 1

Based on the diagram shown above, the volume of this cone to the nearest tenth is equal to 2786.2

In Mathematics and Euclidean Geometry, the volume of a cone can be calculated by using this formula:

V = 1/3 × π
`r^2`h

Where:

• V represents the volume of a cone.
• h represents the height.
• r represents the radius.

Note: Radius = diameter/2 = 22/2 = 11 inches.

By substituting the given parameters into the volume of a cone formula, we have the following;

Volume, V = 1/3 × π
`r^2`h

Volume, V = 1/3 × 3.14 ×
`11^2` × 22

Volume, V = 1/3 × 3.14 × 121 × 22

Volume, V = 2786.2267 ≈ 2786.2 cubic inches.

Answer 2

Volume of a cone = 1/3 πr^2h

radius = 22/2 = 11 in

height = 22 in

`\begin{gathered} V=(1)/(3)\pi r^2h \\ V=(1)/(3)*3.14*11^2*22 \\ V=(1)/(3)*3.14*2662 \\ V=2786.22 \\ V=2786.2\text{ \lparen nearest tenth\rparen} \end{gathered}`

Therefore the volume of the cone = 2786.2