Volume Calculation of Cylinder and Sphere A cylinder is a 2D shape with two circular bases and a rectangular lateral surface. Its volume is determined by...
A cylinder is a 2D shape with two circular bases and a rectangular lateral surface. Its volume is determined by the product of its radius and height (or diameter).
where:
V is the volume
r is the radius
h is the height
A sphere is a 3D shape with a circular base and a curved lateral surface. Its volume is determined by the formula:
where:
V is the volume
r is the radius
Examples:
A cylinder with a radius of 5 cm and a height of 10 cm has a volume of 250 cm³.
A sphere with a radius of 6 cm has a volume of 123 cm³.
Tips for calculating the volume:
For a cylinder, imagine the height of the cylinder as a series of smaller rectangles stacked on top of each other.
For a sphere, imagine the sphere as a ball with a hole drilled through it.
Use the formulas above to calculate the volume of both shapes and compare the results