Volume: Cylinders, Cones, & 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

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

Back

Volume = 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

Volume = (1/3)π(4)²(9) = 48π ≈ 150.8 cm³.

Front

How do you find the volume of a sphere with a radius of 5 cm?

Back

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

Front

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

Back

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

Front

If a cylinder has a volume of 1178 ft³, what could be its dimensions?

Back

Possible dimensions could be a radius of 10 ft and a height of 3.74 ft.

Front

What is the volume of a sphere with a diameter of 10 cm?

Back

Radius = 5 cm; Volume = (4/3)π(5)³ ≈ 523.6 cm³.

Front

How do you calculate the volume of a cylinder with a radius of 2 m and a height of 5 m?

Back

Volume = π(2)²(5) = 20π ≈ 62.83 m³.