Question

Volume of a Cone=πr2h3

Where r
is the radius of the cone's base and h
is the height of the cone. Find the approximate volume of a cone when r
is 4 inches and h
is 3 inches.

Answer 1

The approximate volume of the cone is
`\(50.24\)` cubic inches.

The formula for the volume V of a cone is given by:

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

Now, let's calculate the volume with r = 4 inches and h = 3 inches:

`\[ V = (1)/(3) \pi (4)^2 (3) \]`

`\[ V = (1)/(3) \pi * 16 * 3 \]`

`\[ V = (1)/(3) \pi * 48 \]`

`\[ V \approx (48)/(3) \pi \]`

`\[ V \approx 16 \pi \]`

So, the approximate volume of the cone is
`\(16 \pi\)` cubic inches. If you want a numerical approximation, you can use
`\( \pi \approx 3.14 \)`:

`\[ V \approx 16 * 3.14 \]`

`\[ V \approx 50.24 \text{ cubic inches} \]`

Therefore, the approximate volume of the cone is
`\(50.24\)` cubic inches.