Volume of Cones, Cylinders, 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 volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

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

Front

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

Volume = (1/3)π(3)²(9) = 27π cm³ ≈ 84.8 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) ≈ 268.08 cm³.

Front

What is a hemisphere?

Back

A hemisphere is half of a sphere.

Front

What is the volume of a hemisphere with a radius of 3 cm?

Back

Volume = (2/3)πr³ = (2/3)π(3)³ = 18π cm³ ≈ 56.55 cm³.

Front

How do you find the volume of a composite shape that includes a cylinder and a cone?

Back

Calculate the volume of each shape separately and then add them together.

Front

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

Back

Diameter = 2 × Radius.