Volume of Cylinders, Cones, and 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

If a cylinder has a diameter of 6 inches, what is its radius?

Back

The radius is 3 inches (radius = diameter/2).

Front

How do you calculate the volume of a composite shape like a test tube with a cylindrical part and a half-sphere bottom?

Back

Calculate the volume of the cylinder and the volume of the half-sphere separately, then add them together.

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 7 inches?

Back

V = π(3)²(7) = 63π or approximately 197.82 cubic inches.

Front

What is the volume of a sphere with a radius of 3 inches?

Back

V = (4/3)π(3)³ = 36π or approximately 113.1 cubic inches.

Front

What is the volume of a cone with a radius of 3 inches and a height of 7 inches?

Back

V = (1/3)π(3)²(7) = 21π or approximately 65.97 cubic inches.

Front

How many spherical candles can be made from a cylindrical pitcher of wax?

Back

Calculate the volume of the pitcher and divide it by the volume of one candle mold.

Front

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

Back

The radius is half of the diameter.