Asphere is just enclosed inside a right circular cylinder. if the volume of the cylinder is 450 cm3, find the volume of the sphere. us it is really important!

answer: the volume of the sphere is 150 cm³

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from the diagram, we can see that

radius of sphere = radius of cylinder

height of cylinder = 2 · (radius of sphere)

the volume of the cylinder is given as 450 cm³.

formula for volume of cylinder:

we established before that the height of the cylinder is double the radius of the sphere. and since the radius of the sphere is the same as the radius of the cylinder, we can say that h = 2r:

using the fact that the volume of the cylinder is 450 cm³, we can solve for r

the volume of a sphere is

using the radius we got from above, we calculate as follows:

the volume of the sphere is 150 cm³

i think it might be a but you might want a second opinion