Question

(Photo) Help meeWhat is the volume of the cone below?

Answer 1

Volume = 1/3 pi r^2 h
              = 1/3 * 10^2 *81 pi
              =  2700 pi  units^3

Its  C

Answer 2

Answer:  The correct option is

(C) $2700\pi~\textup{units}^3.$

Step-by-step explanation:  We are given to find the volume of the cone in the figure.

We know that the VOLUME of a cone with radius r units and height h units is given by

$V=\dfrac{1}{3}\pi r^2h.$

From the figure, we note that

radius, r = 10 units and  height, h = 81 units.

Therefore, the VOLUME of the cone will be

$V\\\\\\=\dfrac{1}{3}\pi r^2h\\\\\\=\dfrac{1}{3}\pi\times 10^2\times 81\\\\\\=27\times 100\pi\\\\=2700\pi~\textup{units}^3.$

Thus, the volume of the cone is $2700\pi~\textup{units}^3.$

Option (C) is CORRECT.