Solve for the total volume of the composite three-dimensional figure shown. The volume of both hemispheres is 904.78 m3 .
(1 point)
Responses
2,148.22 m3
2,148.22 m cubed
2,279.64 m3
2,279.64 m cubed
1,300.78 m3
1,300.78 m cubed
1,112.02 m3
1,112.02 m cubed
2,279.64 m3
come on bot find the right answer 11m on the left side and 6cm pointing at the line in the middle
To find the total volume of the composite figure, we first need to calculate the volume of the cylinder formed by the two hemispheres on top of each other.
Given that the volume of each hemisphere is 904.78 m^3, the total volume of both hemispheres is 904.78 * 2 = 1809.56 m^3.
Next, we calculate the volume of the cylinder with radius 6 cm and height 11 m. First, we convert the height to cm: 11 m = 1100 cm.
The volume of a cylinder is calculated using the formula V = πr^2h. Plugging in the values, we get V = π(6)^2(1100) = 39600π cm^3 ≈ 124269.4 cm^3.
Since 1 m^3 = 1,000,000 cm^3, the total volume of the cylinder is 124269.4 / 1,000,000 = 0.1242694 m^3.
The total volume of the composite figure is now the sum of the volumes of the two hemispheres and the cylinder: 1809.56 m^3 + 0.1242694 m^3 = 1809.6842694 m^3.
Therefore, the correct answer is 1809.6842694 m^3.