Question

Use the image to answer the question.
angles are 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

choose the one answer that is the closest to the correct answer

Answer 2

choose a correct answer from the given choices from the main question

Answer 3

The total volume of the composite figure is the sum of the volumes of all three parts: the cylinder, the two hemispheres, and the rectangular prism.

Volume of cylinder = πr^2h
Volume of cylinder = π(11/2)^2*6
Volume of cylinder = π(121/4)*6
Volume of cylinder = π*726/4
Volume of cylinder = 904.78 m^3

Volume of rectangular prism = l*w*h
Volume of rectangular prism = 11*11*6
Volume of rectangular prism = 726 m^3

Adding the volumes of the cylinder, two hemispheres, and rectangular prism gives:
Total volume = 2(904.78) + 726
Total volume = 1809.56 + 726
Total volume = 2535.56 m^3

Therefore, the total volume of the composite three-dimensional figure is 2,535.56 m^3.

The answer is not listed among the options provided, but it can be rounded to the nearest hundredth.
Rounded to the nearest hundredth, the total volume is approximately 2,535.56 m^3.

Answer 4

The closest answer to the correct answer of 2,535.56 m^3 is option C, 2,279.64 m^3.

Answer 5

The closest correct answer from the provided choices is A. 1,300.78 m^3.