Question

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

Answer 1

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.