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6.

Which expression represents the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r?

6. Which expression represents the volume of the composite figure formed by a hemisphere-example-1

1 Answer

5 votes

Answer:

A.
r^(3)(
(2)/(3)
\pi + 8)

Explanation:

A composite figure is formed by two or more shapes in contact.

Volume of a cube =
l^(3)

where l is the length of its sides.

Given that l = 2r, then;

volume of the cube =
(2r)^(3)

= 8
r^(3)

volume of the cube = 8
r^(3)

For a hemisphere, volume =
(2)/(3)
\pi
r^(3)

Also,

volume of the hemisphere =
(2)/(3)
\pi
r^(3)

So that,

volume of the composite figure = volume of the cube + volume of the hemisphere

= 8
r^(3) +
(2)/(3)
\pi
r^(3)

=
r^(3)(8 +
(2)/(3)
\pi)

volume of the composite figure =
r^(3)(
(2)/(3)
\pi + 8)

User Ahmed Atia
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