Question

PAPERWEIGHT Marta bought a paperweight in the shape of a cone. The radius was 10 centimeters and the height 9 centimeters. Find the volume. Round to the nearest tenth.

Answer 1

We have been given that Marta bought a paperweight in the shape of a cone. The radius was 10 centimeters and the height 9 centimeters. We are asked to find the volume of the paperweight.

We will use volume of cone formula to solve our given problem.

`V=(1)/(3)\pi r^2 h`, where

r = Radius of cone,

h = Height of cone.

Upon substituting our given values in above formula, we will get:

`V=(1)/(3)\pi\cdot (10\text{ cm})^2\cdot 9\text{ cm}`

`V=\pi\cdot 100\text{ cm}^2\cdot 3\text{ cm}`

`V=300\pi\text{ cm}^3`

`V=942.47779607\text{ cm}^3`

Upon rounding to nearest tenth, we will get:

`V\approx 942.5\text{ cm}^3`

Therefore, the volume of the paperweight is approximately
`942.5\text{ cm}^3`.