To find the total volume of the figure, we need to calculate the volume of the cylinder and the hemisphere separately and then add them together.
Volume of the cylinder:
V_cylinder = πr^2h
V_cylinder = π(5m)^2(8m)
V_cylinder = 200π m^3
Volume of the hemisphere:
The volume of a hemisphere is given by:
V_hemisphere = (2/3)πr^3
Since the radius of the hemisphere is also 5m, we can substitute it in:
V_hemisphere = (2/3)π(5m)^3
V_hemisphere = (2/3)π(125m^3)
V_hemisphere = (250/3)π m^3
Now, we add the volume of the cylinder and the hemisphere to get the total volume of the figure:
Total Volume = V_cylinder + V_hemisphere
Total Volume = 200π m^3 + (250/3)π m^3
Total Volume = (600π + 250π) m^3
Total Volume = 850π m^3
Therefore, the volume of the figure is 850π cubic meters.
Find the volume of the figure.
Cylinder with a height=8m, radius of 5m, hemisphere sits on top
1 answer