Question

Find the volume of this cone.Use 3 for T.8_ftV = Tr?h=13?V [?]ft6 ft

Answer 1

As given by the question

There are given that the cone.

Now,

From the formula of volume of cone:

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

Then,

From the given figure, there are given that height and diameter

So,

First, find the value of radius (r)

`\begin{gathered} d=2r \\ r=(d)/(2) \\ r=(8)/(2) \\ r=4 \end{gathered}`

Then,

Put the value of r and h into the given formula:

`\begin{gathered} V=(\pi* r^2* h)/(3) \\ V=(3*(4)^2*6)/(3) \\ V=\frac{3*16^{}*6}{3} \\ V=16^{}*6 \\ V=96 \end{gathered}`

Hence, the value of volume of the cone is 96 ft^3