Question

Help me please top brainilest

Answer 1

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:

$\frac{128}{3}$

Answer 2

i think it would be your first choice