Question

Volume of cone cylinders and spheres practice

Answer 1

Sure! I can help you practice with the volume formulas for cone cylinders and spheres.

Volume of a Cone:

The volume of a cone can be calculated using the formula: V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height of the cone.

Example:

Find the volume of a cone with a radius of 5 cm and a height of 10 cm.

Solution:
V = (1/3) * π * (5 cm)^2 * 10 cm
= (1/3) * 3.1416 * 25 cm^2 * 10 cm
≈ 261.8 cm^3

So, the volume of the cone is approximately 261.8 cm^3.

Volume of a Cylinder:

The volume of a cylinder can be calculated using the formula: V = π * r^2 * h, where r is the radius of the base and h is the height of the cylinder.

Example:

Find the volume of a cylinder with a radius of 4 cm and a height of 8 cm.

Solution:
V = π * (4 cm)^2 * 8 cm
= 3.1416 * 16 cm^2 * 8 cm
≈ 402.1 cm^3

So, the volume of the cylinder is approximately 402.1 cm^3.

Volume of a Sphere:

The volume of a sphere can be calculated using the formula: V = (4/3) * π * r^3, where r is the radius of the sphere.

Example:

Find the volume of a sphere with a radius of 6 cm.

Solution:
V = (4/3) * π * (6 cm)^3
= (4/3) * 3.1416 * 216 cm^3
≈ 904.8 cm^3

So, the volume of the sphere is approximately 904.8 cm^3.

I hope this helps! Let me know if you have any further questions.