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

How do you approximate π for calculations?

Back

You can use 3.14 as an approximation for π.

Front

What is the volume of a cylinder with a radius of 5 ft and a height of 10 ft?

Back

Volume = π(5²)(10) = 250π ≈ 785 ft³.

Front

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

Back

Volume = (1/3)π(3²)(9) = 27π ≈ 84.82 in³.

Front

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

Back

Volume = (4/3)π(4³) = (4/3)π(64) ≈ 268.08 cm³.

Front

If a cylinder has a volume of 1000 ft³ and a height of 10 ft, what is the radius?

Back

Using the formula V = πr²h, r = √(V/(πh)) = √(1000/(π*10)) ≈ 5.64 ft.

Front

What is the volume of a cylinder with a diameter of 6 m and a height of 12 m?

Back

Radius = 3 m; Volume = π(3²)(12) = 108π ≈ 339.12 m³.

Front

How do you convert the volume of a cylinder from cubic feet to cubic inches?

Back

Multiply the volume in cubic feet by 1728 (1 ft³ = 1728 in³).