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

Mathematics

2 answers:

sergejj [24]3 years ago

3 0

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

Its C

hram777 [196]3 years ago

3 0

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.

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