Question

Find the volume of the figure.

Cylinder with a height=8m, radius of 5m, hemisphere sits on top


Find the volume of the figure.

Cylinder with a height=8m, radius of 5m, hemisphere sits on top


890.1 m3


1151.9 m3


680.7 m3


104.7 m3

Answer 1

The volume of the cylinder is given by V_cylinder = π*r^2*h, where r is the radius and h is the height. So, V_cylinder = π*5^2*8 = 628.3 m^3.

The volume of the hemisphere is given by V_hemisphere = (2/3)*π*r^3, where r is the radius. So, V_hemisphere = (2/3)*π*5^3 = 523.6 m^3.

Therefore, the total volume of the figure is V_total = V_cylinder + V_hemisphere = 628.3 + 523.6 = 1151.9 m^3.

So, the correct answer is 1151.9 m^3.