Find the missing angles

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bcox32314

23.01.2021

Mathematics

A. $r^{3}$ ( $\frac{2}{3}$ $\pi$ + 8)

Step-by-step 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 = $\frac{2}{3}$ $\pi$ $r^{3}$

Also,

volume of the hemisphere = $\frac{2}{3}$ $\pi$ $r^{3}$

So that,

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

= 8 $r^{3}$ + $\frac{2}{3}$ $\pi$ $r^{3}$

= $r^{3}$ (8 + $\frac{2}{3}$ $\pi$ )

volume of the composite figure = $r^{3}$ ( $\frac{2}{3}$ $\pi$ + 8)

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