6 cm
14 cm
6 cm
4 ст
5 cm
Solve for the volume of the composite figure.
(1 point)
952 cm₴
• 616 cm₴
• 448 cm₴
154 cm*
VOLUME OF CYLINDERS AND COMPOSITE 3D FIGURES
To find the volume of the composite figure, we need to find the volume of each individual cylinder and then add them together.
The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius and h is the height.
For the first cylinder:
r = 3 cm, h = 6 cm
V1 = π(3)^2(6)
V1 = 54π cm^3
For the second cylinder:
r = 7 cm, h = 14 cm
V2 = π(7)^2(14)
V2 = 686π cm^3
For the third cylinder:
r = 3 cm, h = 4 cm
V3 = π(3)^2(4)
V3 = 36π cm^3
Now, add the volumes of the three cylinders together:
Total Volume = V1 + V2 + V3
Total Volume = 54π + 686π + 36π
Total Volume = 776π cm^3
Approximating the value of π as 3.14, we get:
Total Volume ≈ 776(3.14) cm^3
Total Volume ≈ 2436.64 cm^3
Therefore, the volume of the composite figure is approximately 2436.64 cm^3.