Answer:
6583.5 cm³
Step-by-step explanation:
[tex]\boxed{volume \: of \: hemisphere = \frac{2}{3}\pi {r}^{3} }[/tex]
[tex]\boxed{volume \: of \: cylinder = \pi {r}^{2} h}[/tex]
Thus, volume of half cylinder= ½πr²h
Since both has a radius of 10.5cm, substitute r= 10.5 into both formulas. The value of h is 24 since it is given that the height of the half cylinder is 24cm.
Volume of composite solid
[tex] = \frac{2}{3}( \frac{22}{7})(10.5^{3} ) + \frac{1}{2} ( \frac{22}{7} )( {10.5}^{2} )(24) \\ = 2425.5 + 4158 \\ = 6583.5 \: cm^{3} [/tex]
