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Question

there is a three-dimensional figure with the volume and is 11 m, and 6 m
Solve for the total volume of the composite three-dimensional figure shown. The volume of both hemispheres is 904.78 m^3.
A. 1,300.78 m^3
B. 1,112.02 m^3
C. 2,279.64 m^3
D. 2,148.22 m^3

Answer 1

To find the total volume of the composite figure, we first need to calculate the volume of the rectangular prism.

Volume of rectangular prism = length x width x height
Volume = 11m x 6m x 3m
Volume = 198m^3

Now, we need to add the volume of both hemispheres to the volume of the rectangular prism.

Total volume = Volume of rectangular prism + 2(Volume of hemisphere)
Total volume = 198m^3 + 2(904.78m^3)
Total volume = 198m^3 + 1809.56m^3
Total volume = 2007.56m^3

Therefore, the total volume of the composite figure is 2007.56m^3.

Therefore, the closest answer choice is:

C. 2,279.64 m^3