Question

Volume of Cylinders and Composite 3D Figures

Answer 1

To find the volume of a cylinder, you can use the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

For example, if a cylinder has a radius of 3 cm and a height of 10 cm, the volume would be:
V = π(3^2)(10) = 90π cm^3

To find the volume of a composite 3D figure made up of cylinders, you would first find the volume of each individual cylinder and then add them together.

For example, if you have a composite figure made up of two cylinders with dimensions as follows:
Cylinder 1: r = 4 cm, h = 12 cm
Cylinder 2: r = 2 cm, h = 8 cm

The volume of the first cylinder would be:
V1 = π(4^2)(12) = 192π cm^3
The volume of the second cylinder would be:
V2 = π(2^2)(8) = 32π cm^3

Therefore, the total volume of the composite figure would be:
V_total = V1 + V2 = 192π + 32π = 224π cm^3

In conclusion, finding the volume of cylinders and composite 3D figures involves using the formula for the volume of a cylinder and adding the volumes of individual cylinders together for composite figures.