Volume of Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.

Front

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

Back

The value of π (Pi) is approximately 3.14, but it can also be used as 22/7 for calculations.

Front

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

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(5)³ = 523.6 m³.

Front

If a cone has a radius of 3 inches and a height of 4 inches, what is its volume?

Back

Using the formula V = (1/3)πr²h, the volume is V = (1/3)π(3)²(4) = 37.68 in³.

Front

What is the volume of a cylinder with a radius of 2 ft and a height of 5 ft?

Back

Using the formula V = πr²h, the volume is V = π(2)²(5) = 20π ≈ 62.83 ft³.

Front

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

Back

The volume of a cone is one-third the volume of a cylinder with the same base and height.

Front

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

Back

To convert from cubic inches to cubic feet, divide the volume in cubic inches by 1728 (since 1 ft³ = 1728 in³).

Front

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

Back

First, find the radius: r = diameter/2 = 5 cm. Then, V = (4/3)π(5)³ ≈ 523.6 cm³.