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.
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
1 answer
1 answer