Question

Find the Volume of a cone with a height of 10 yd, and a diameter of 10 yd. Round tothe nearest tenth

Answer 1

The volume of a cone of radius r and height h is:

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

The radius is half the diameter:

`r=(10yd)/(2)=5yd`

The height is h = 10 yd. Substitute the values in the formula:

`V=(1)/(3)\pi(5yd)^2(10yd)`

Calculating:

`\begin{gathered} V=(1)/(3)\pi(25yd^2)(10yd) \\ V=(250\pi)/(3)yd^3 \end{gathered}`

Calculating the approximate value to the nearest tenth:

V = 261.8 cubic yd