A sphere is a set of clues in room that room a given distance r indigenous the center.

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The volume of a 3 -dimensional solid is the lot of space it occupies. Volume is measure up in cubic units( in 3 , ft 3 , centimeter 3 , m 3 , et cetera). Be sure that every one of the measurements are in the same unit prior to computing the volume.

The volume V that a ball is four-thirds times pi times the radius cubed.

V = 4 3 π r 3

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

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


Example:

discover the volume that the sphere. Round to the nearest cubic meter.

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equipment

The formula because that the volume of a ball is

V = 4 3 π r 3

from the figure, the radius that the round is 8 m.

instead of 8 because that r in the formula.

V = 4 3 π ( 8 ) 3

Simplify.

V = 4 3 π ( 512 )

≈ 2145

Therefore, the volume that the ball is about 2145   m 3 .


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