Answer:
[tex]\frac{550}{3} \pi [/tex] cm³ = 576 cm³ (3 sf)
Step-by-step explanation:
Height of hemisphere = 5 cm therefore, radius (r) = 5
Volume of a hemisphere = [tex]\frac{2}{3} \pi r^3[/tex] = [tex]\frac{2}{3} \pi \times 5^3[/tex] = [tex]\frac{250}{3} \pi [/tex]
Volume of a cone = [tex]\frac{1}{3} \pi r^2h[/tex] = [tex]\frac{1}{3} \pi \times 5^2 \times 12[/tex] = [tex]100\pi [/tex]
Total volume of solid = [tex]\frac{250}{3} \pi +100\pi =\frac{550}{3} \pi =[/tex] 576 cm³ (3 sf)
