Answer :
Volume of Solids
The volume of the composite figure is 1308.33 mm³
Step-by-step explanation:
Radius of cylinder base r = 5 mm
height of cylinder h = 10 mm
Volume of cylinder = [tex]\pi r^{2} h[/tex]
Volume of Sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
Volume of composite figure = Volume of cylinder + Volume of Sphere
V = [tex]\pi r^{2} h[/tex] + [tex]\frac{4}{3} \pi r^{3}\\[/tex]
Volume of cylinder = 3.14 × 5 × 5 × 10 = 785 mm³
Volume of Sphere = [tex]\frac{4}{3}[/tex] × 3.14×5×5×5 = 523.33 mm³
Volume of the composite figure = 785 + 523.33 = 1308.33 mm³
Hence. the volume of the composite figure is 1308.33 mm³
