Volume of Cylinders, Cones and Spheres

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

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

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

What is the difference between radius and diameter?

Back

The radius is half the diameter; the diameter is twice the radius.

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

Volume = π(5)²(10) = 250π ≈ 785.4 cm³.

Front

How do you calculate the volume of a hemisphere?

Back

Volume = (2/3)πr³, where r is the radius.

Front

What is the value of π (pi) used in calculations?

Back

π (pi) is approximately 3.14.

Front

If a cone has a base diameter of 12 cm and a height of 9 cm, what is its volume?

Back

Volume = (1/3)π(6)²(9) = 108π ≈ 339.1 cm³.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

Volume = π(3)²(7) = 63π ≈ 197.8 cm³.

Front

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

Back

Volume = (4/3)π(4)³ = (4/3)π(64) ≈ 268.1 cm³.