Question
Use the image to answer the question.
A composite ovoid figure is made up of a cylinder and 2 half-spheres. The flat faces of the 2 half-spheres touch the circular ends of the cylinder. The radius of the cylinder is labeled 6 meters. The height of the cylinder is labeled 11 meters.
Solve for the total volume of the composite three-dimensional figure shown. The volume of both hemispheres is 904.78 m3 .
(1 point)
Responses
2,279.64 m3
2,279.64 m cubed
2,148.22 m3
2,148.22 m cubed
1,300.78 m3
1,300.78 m cubed
1,112.02 m3
To find the volume of the cylinder, we use the formula V = πr^2h, where r is the radius and h is the height.
V_cylinder = π(6^2)(11) = 1,238.95 m^3
The total volume of the composite figure is the sum of the volume of the cylinder and the volume of the two half-spheres.
Total Volume = V_cylinder + 2(V_hemisphere) = 1,238.95 + 2(904.78) = 2,048.51 m^3
Therefore, the closest option is 2,148.22 m^3.