2 years ago

What is the volume of a cone with a radius of 3 and a height of 11?

Mathematics

1 answer:

kondaur [170]2 years ago

4 0

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What is the volume of both shapes ?

Nataly [62]

Answer:

314 ft cubed

Step-by-step explanation:

To find the volume, find the volume of the cone and add it to the volume of the cylinder.

The volume of a cone is

$V= \frac{1}{3}\pi r^2 h= \frac{1}{3}\pi (5^2)(12) = \frac{1}{3}\pi (25)(12)= \frac{1}{3}\pi *300 = 100\pi$ .

The volume of the cylinder is

$V=\pi (5^2)(4)= \pi (25)(4)= 100\pi$

Together their volume is $100\pi+100\pi=200\pi \\200\pi =314ft^3$

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