By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.
How to determine the volume of a composite figure
The volume of the composite figure is the sum of the volumes of the two figures: (i) a cone, (ii) a hemisphere. The volume formula of the figure is shown below:
[tex]V = \frac{2\pi}{3} \cdot r^{3} + \frac{\pi}{3}\cdot r^{2}\cdot h[/tex]
If we know that r = 5.3 cm and h = 8.4 cm, then the volume of the composite figure is:
V = (2π/3) · (5.3 cm)³ + (π/3) · (5.3 cm)² · (8.4 cm)
V ≈ 558.900 cm³
By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.
To learn more on volumes: https://brainly.com/question/1578538
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