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erastova [34]
2 years ago
13

What is the volume of both shapes ?

Mathematics
1 answer:
Nataly [62]2 years ago
6 0

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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