Volume of Cylinders and Composite 3D Figures Quick Check
5 of 55 of 5 Items
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
1,300.78 m3
1,300.78 m cubed
2,148.22 m3
2,148.22 m cubed
2,279.64 m3
2,279.64 m cubed
1,112.02 m3
1,112.02 m cubed
Skip to navigation
To find the total volume of the composite figure, we first need to find the volume of the cylinder and then add the volume of the two half-spheres.
The volume of a cylinder is V = πr^2h, where r is the radius and h is the height. Plugging in the values, we get: V = π(6^2)(11) = 396π ≈ 1243.71 m^3
Since we have two half-spheres, the total volume for both is 2(904.78) = 1809.56 m^3
Adding the volume of the cylinder and the two half-spheres, we get: 1243.71 + 1809.56 = 3053.274
Therefore, the total volume of the composite 3D figure shown is 3053.27 m^3, which is closest to the given option: 2,279.64 m^3.
Correct response: 2,279.64 m3