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.
[tex]V=\frac{1}{3}\pi r^2 h[/tex], where
r = Radius of cone,
h = Height of cone.
Upon substituting our given values in above formula, we will get:
[tex]V=\frac{1}{3}\pi\cdot (10\text{ cm})^2\cdot 9\text{ cm}[/tex]
[tex]V=\pi\cdot 100\text{ cm}^2\cdot 3\text{ cm}[/tex]
[tex]V=300\pi\text{ cm}^3[/tex]
[tex]V=942.47779607\text{ cm}^3[/tex]
Upon rounding to nearest tenth, we will get:
[tex]V\approx 942.5\text{ cm}^3[/tex]
Therefore, the volume of the paperweight is approximately [tex]942.5\text{ cm}^3[/tex].
