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cupoosta [38]
3 years ago
12

The height of a cylinder is 10 and the area of a base is 36 pi square units. What

Mathematics
1 answer:
ollegr [7]3 years ago
6 0

Answer:

1130.97336 units^3

Step-by-step explanation:

The volume of a cylinder can be found using:

v=\pi r^2h

We have the area of the base, but not the radius

a=\pi r^2

We know the area is 36\pi, so we can substitute that in for a

36\pi =\pi r^2

We want to find r, so we need to isolate it

Divide both sides by pi

36=r^2

Take the square root of both sides

6=r

Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in

v=\pi r^2h

v=\pi 6^210

Solve the exponent

v=\pi 36(10)

v=\pi 360

v=1130.97336

The volume is 1130.97336 units^3

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