Question

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Answer 1

Answer:

The volume of the composite figure is approximately 434.041 cubic centimeters.

Step-by-step explanation:

The volume of the composite figure ($V$), in cubic centimeters, is the sum of the volumes of the cuboid ($V_{c}$), in cubic centimeters, and hemisphere ($V_{h}$), in cubic centimeters, that is:

$V = V_{c} + V_{h}$ (1)

$V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}$ (2)

Where:

$w$ - Width, in centimeters.

$h$ - Height, in centimeters.

$l$ - Length, in centimeters.

$R$ - Radius, in centimeters.

If we know that $w = 10\,cm$, $h = 6\,cm$, $l = 5\,cm$ and $R = 4\,cm$, then the volume of the composite figure is:

$V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}$

$V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}$

$V \approx 434.041\,cm^{3}$

The volume of the composite figure is approximately 434.041 cubic centimeters.