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maw [93]
3 years ago
8

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27nft3. Which equation gives the volume o

f the sphere
Mathematics
2 answers:
miv72 [106K]3 years ago
8 0

Answer:

It's (A.) guys

Step-by-step explanation:

inna [77]3 years ago
6 0

Answer:

The volume of the sphere is V=18\pi\ ft^{3}

Step-by-step explanation:

we know that

The volume of cylinder is equal to

V=\pi r^{2}h

we have

V=27\pi\ ft^{3}

substitute

27\pi=\pi r^{2}h

simplify

27=r^{2}h

Remember that

A sphere and a cylinder have the same radius and height

so

The height of cylinder is equal to the diameter of sphere

h=2r

substitute

27=r^{2}(2r)

13.5=r^{3} -----> equation A

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

substitute equation A in the formula of the volume of sphere

V=\frac{4}{3}\pi (13.5)

V=18\pi\ ft^{3}

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