Question

Find the following measure for this figure.
Volume =

Answer 1

91 2/3 pi cubic units

Explanation:

The formula for the volume of cone is
`(1)/(3)\pi r^2 h`. Plugging in the given numbers, you get:

`(1)/(3)\cdot \pi \cdot 5^2 \cdot 11= 91 \ 2/3 \pi`

Hope this helps!

Answer 2

`Volume=(1)/(3) \,275\,\pi` cubic units

Notice that this answer doesn't agree with any of the first three in the list provided via the screenshot

Explanation:

Recall the formula for the volume of a cone:

`Volume=(1)/(3) Base\,*\,Height`

In this case the Height is 11 units, and they also give us the radius of the circular base (5 units) from which we can find the circle's base area:

`Area_(circle) = \pi\,R^2\\Area_(circle)=\pi\,(5)^2\\Area_(circle)=25 \pi`

therefore the total volume becomes:

`Volume=(1)/(3) Base\,*\,Height\\Volume=(1)/(3) 25\,\pi\,*\,11\\\\Volume=(1)/(3) \,275\,\pi`