VOLUME OF CYLINDERS AND COMPOSITE 3D FIGURES

Question

12 ст
5 cm
5 cm
10 cm
5 cm
5 cm
5 cm
What is the volume of the composite figure?
(1 point)
370 cm'
725 cm*
170 cm₴
850 cm₴

Answer 1

To find the volume of the composite figure, we first need to find the volume of each individual figure and then add them together.

The first figure is a cylinder with a radius of 5 cm and height of 12 cm. The volume of a cylinder is calculated by the formula V = πr²h, where r is the radius and h is the height.

V1 = π*(5)^2*12
V1 = 300π cm³

The second figure is a smaller cylinder with a radius of 5 cm and height of 5 cm.

V2 = π*(5)^2*5
V2 = 125π cm³

Total volume of both cylinders = V1 + V2
Total volume = 300π + 125π
Total volume = 425π cm³

Now, let's calculate the total volume in terms of actual numbers.

Total volume ≈ 425 * 3.14
Total volume ≈ 1334.5 cm³

Therefore, the volume of the composite figure is approximately 1334.5 cm³.