Question

What is the volume of this cone round to the nearest hundreth

Answer 1

We have to calculate the volume of the cone.

The volume of the cone is 1/3 of the area of the base times the height.

As the base has diameter D = 16 yd, we can calculate the area of the base as:

`\begin{gathered} A_b=(\pi D^2)/(4) \\ A_b\approx(3.14*16^2)/(4) \\ A_b\approx(3.14*256)/(4) \\ A_b\approx200.96 \end{gathered}`

Knowing the height is h = 14 yd, we then can calculate the volume as:

`\begin{gathered} V=(1)/(3)A_bh \\ V=(1)/(3)*200.96*14 \\ V\approx937.81 \end{gathered}`

Answer: the volume is 937.81 cubic yards.