Volume - 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

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

Back

V = π(3)²(10) = 283 cm³.

Front

What is the volume of a sphere with a radius of 11 inches?

Back

V = (4/3)π(11)³ ≈ 5,575 in³.

Front

How do you find the radius of a cone if you know the diameter?

Back

Radius = Diameter / 2.

Front

What is the volume of a cone with a height of 30 inches and a diameter of 20 inches?

Back

V = (1/3)π(10)²(30) ≈ 3,140 in³.

Front

What is the diameter of a cylinder if the radius is 4.5 inches?

Back

Diameter = 2 * Radius = 9 inches.

Front

What is the volume of a cylinder with a height of 15 inches and a radius of 6 inches?

Back

V = π(6)²(15) ≈ 1695.6 in³.

Front

What does π (pi) represent in volume formulas?

Back

π is a mathematical constant approximately equal to 3.14, used in calculations involving circles.