Volume of Cone, Cylinder & Sphere

Front

What is volume?

Back

Volume is the number of cubic units needed to fill the space occupied by a solid.

Front

What shape is a solid with two circular bases and straight sides?

Back

Cylinder

Front

What shape has a circular base that narrows to a point?

Back

Cone

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

If a sphere has a diameter of 20 cm, what is its radius?

Back

10 cm (radius is half of the diameter).

Front

What is the volume of a sphere with a radius of 10 cm?

Back

4,188.8 cm³.

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

If a cylinder has a radius of 2 cm and a height of 5 cm, what is its volume?

Back

V = π(2)²(5) = 20π ≈ 62.83 cm³.

Front

What is the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

If a cone has a radius of 3 cm and a height of 4 cm, what is its volume?

Back

V = (1/3)π(3)²(4) = 12π ≈ 37.68 cm³.