Volume of Cylinders, Cones, & Spheres

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

What is the formula for the volume of a cone?

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 sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

How do you find the radius if you know the diameter?

Back

Radius = Diameter / 2.

Front

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

Back

V = π(3)²(10) = 90π ≈ 282.74 cm³.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

V = (1/3)π(4)²(9) = 48π ≈ 150.8 cm³.

Front

What is the volume of a sphere with a radius of 5 cm?

Back

V = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 cm³.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

How do you calculate the volume of a cylinder with a diameter of 12 inches and a height of 10 inches?

Back

First, find the radius: r = 12/2 = 6 inches. Then, V = π(6)²(10) = 360π ≈ 1130.4 in³.

Front

What is the volume of a cone with a base radius of 3 cm and a height of 4 cm?

Back

V = (1/3)π(3)²(4) = 12π ≈ 37.7 cm³.