Question

Find the following measure for this figure.
Volume =

Answer 1

Answer:

91 2/3 pi cubic units

Step-by-step explanation:

The formula for the volume of cone is $\dfrac{1}{3}\pi r^2 h$. Plugging in the given numbers, you get:

$\dfrac{1}{3}\cdot \pi \cdot 5^2 \cdot 11= 91 \ 2/3 \pi$

Hope this helps!

Answer 2

Answer:

$Volume=\frac{1}{3} \,275\,\pi$ cubic units

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

Step-by-step explanation:

Recall the formula for the volume of a cone:

$Volume=\frac{1}{3} Base\,*\,Height$

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:

$Volume=\frac{1}{3} Base\,*\,Height\\Volume=\frac{1}{3} 25\,\pi\,*\,11\\\\Volume=\frac{1}{3} \,275\,\pi$