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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
1,112.02 m3
1,112.02 m cubed
1,300.78 m3
1,300.78 m cubed
2,279.64 m3
2,279.64 m cubed
2,148.22 m3
2,148.22 m cubed
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To find the volume of the composite figure, we need to find the volume of the cylinder and the two half-spheres separately and then add them together.
Volume of the cylinder: πr^2h = π(6)^2(11) = 396π m^3
Volume of the two half-spheres: 2(1/2)(4/3)πr^3 = 8/3π(6)^3 = 288π m^3
Total volume = 396π + 288π = 684π + 904.78 = 1588.78 m^3
Therefore, the total volume of the composite figure is 1,588.78 m^3, which rounded to the nearest hundredth is approximately 1,588.78. So, the correct answer is 1,588.78 m^3.