Volume of cones cylinders and spheres

Question

A colorful scene of a geometry lesson in progress. At the center of the scene, a hand holding a pencil is drawing an array of 3D shapes: a perfect cone, cylinder, and sphere. The shapes are vividly detailed, projecting shadows onto the drawing surface. The cone has an emerald green hue, the cylinder is sapphire blue, and the sphere radiates a ruby red color. The scene has the ambient lighting of a warm, cozy classroom. The backdrop is a plain, light-colored wall, ensuring the focus remains on the 3D shapes.

Volume of cones cylinders and spheres

Answer 1

The volume of a cone is given by the formula:

V = (1/3)πr^2h
where V is the volume, r is the radius of the base, and h is the height.

The volume of a cylinder is given by the formula:
V = πr^2h
where V is the volume, r is the radius of the base, and h is the height.

The volume of a sphere is given by the formula:
V = (4/3)πr^3
where V is the volume and r is the radius.

These formulas can be used to calculate the volume of various cones, cylinders, and spheres depending on the values of their respective dimensions.