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Algebra Write an expression representing the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r.

Algebra Write An Expression Representing The Volume Of The Composite Figure Formed By A Hemisphere With Radius R And A Cube With Side Length 2r class=

Sagot :

MrRoyalidn

The expression that represents the volume of the composite figure is 16/3πr³ + r³

The expression that represents the volume?

The given parameters are:

  • Hemisphere radius = r
  • Cube length = r

The volume of a cube is:

V = l³

So, we have:

V = r³

The volume of a hemisphere is:

V = (2/3)πr³

So, we have:

V = (2/3)π(2r)³

Evaluate

V = (2/3)π * 8r³

This gives

V = 16/3πr³

Add both volumes

Volume = 16/3πr³ + r³

Hence, the expression that represents the volume of the figure is 16/3πr³ + r³

Read more about composite figure at:

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