Volume of Cylinder, Cones and Spheres Review

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

What is the volume of a cone formula?

Back

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

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 the radius of a sphere is 5 m, what is its volume?

Back

V = (4/3)π(5)³ = 523.6 m³.

Front

How do you find the diameter of a cylinder if you know its volume and height?

Back

Use the formula V = πr²h to find r, then diameter = 2r.

Front

What is the volume of a cylinder with a radius of 3 in and height of 5 in?

Back

V = π(3)²(5) = 45π in³.

Front

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

Back

Diameter = 2 × Radius.

Front

If a cone has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

V = (1/3)π(3)²(10) = 30π cm³.

Front

What is the approximate volume of a cylinder with a height of 12 inches and a radius of 5 inches?

Back

V = π(5)²(12) ≈ 300π ≈ 942 in³.

Front

What is the volume of a sphere with a radius of 4 cm?

Back

V = (4/3)π(4)³ ≈ 268.08 cm³.