Question

Help me with the answer

Answer 1

The Volume of a cone is given by the formula

`V_{\text{cone}}=(1)/(3)* area\text{ of circular base}* height`
`\begin{gathered} A_{\text{circular base}}=\pi r^2 \\ A_{\text{cone}}=(1)/(3)*\pi r^2h \end{gathered}`

From the question, the height h= 11feet; radius r = 7 ft.

Substituting the given parameters in the formula to get the volume of the cone

`\begin{gathered} h=11ft;r=7ft;\pi=3.14 \\ V_{\text{cone}}=(1)/(3)*3.14*(7ft)^2*11ft \end{gathered}`
`\begin{gathered} V_{\text{cone}}=(1)/(3)*3.14*49ft^2*11ft \\ V_{\text{cone}}=(1692.46)/(3) \\ \text{Vcone}=564.1533ft^3 \\ V_{\text{cone}}=564.15ft^3(\text{nearest hundredth)} \end{gathered}`

Hence, the volume of the cone is 564.15 cubic feet to the nearest hundredth