Question

The radius of a sphere is one third of r the find its volume.

Answer 1

Answer:

The volume of a 3 -dimensional solid is the amount of space it occupies. Volume is measured in cubic units( in3,ft3,cm3,m3 , et cetera). Be sure that all of the measurements are in the same unit before computing the volume.

The volume V of a sphere is four-thirds times pi times the radius cubed.

V=43πr3

The volume of a hemisphere is one-half the volume of the related sphere.

Note : The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter.

Example:

Find the volume of the sphere. Round to the nearest cubic meter.

Solution

The formula for the volume of a sphere is

V=43πr3

From the figure, the radius of the sphere is 8 m.

Substitute 8 for r in the formula.

V=43π(8)3

Simplify.

V=43π(512)

≈2145

Therefore, the volume of the sphere is about 2145 m3 .