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Blizzard [7]
4 years ago
6

Help me please top brainilest

Mathematics
2 answers:
Alex787 [66]4 years ago
6 0

By definition, the volume of the cylinder is given by:

V= \pi r^2h

On the other hand, we know that the height of the sphere is:

h = 2r

The height of the sphere is equal to the height of the cylinder, therefore, rewriting the volume of the cylinder we have:

V= 2 \pi r^3

Substituting the cylinder volume value we have:

64= 2 \pi r^3

Then, by definition, the volume of the sphere is given by:

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

Rewriting we have:

Vs = \frac{2}{3} 2 \pi  r^3

Substituting values we have:

Vs = \frac{2}{3} 64

Rewriting we have:

\frac{128}{3}

Answer:

The volume of the sphere is given by:

\frac{128}{3}

Tatiana [17]4 years ago
5 0

i think it would be your first choice

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