Volume of Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Front

Calculate the volume of a sphere with a radius of 3 cm. Use 3.14 for pi.

Back

V = (4/3) × 3.14 × (3)³ = 113.04 cm³.

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

Front

Calculate the volume of a cylinder with a radius of 2 m and a height of 5 m. Use 3.14 for pi.

Back

V = 3.14 × (2)² × 5 = 62.8 m³.

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

Front

Calculate the volume of a cone with a radius of 3 inches and a height of 4 inches. Use 3.14 for pi.

Back

V = (1/3) × 3.14 × (3)² × 4 = 37.68 in³.

Front

What shape is the base of a cylinder?

Back

The base of a cylinder is a circle.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter of a circle is twice the length of the radius (d = 2r).

Front

If the radius of a sphere is doubled, how does the volume change?

Back

If the radius is doubled, the volume increases by a factor of 8 (V = (4/3)π(2r)³ = 8 × (4/3)πr³).

Front

What is the volume of a sphere with a radius of 6 cm? Use 3.14 for pi.

Back

V = (4/3) × 3.14 × (6)³ = 904.32 cm³.