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 a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π cm³ ≈ 141.37 cm³.

Front

How does changing the radius of a cylinder affect its volume?

Back

Increasing the radius increases the volume exponentially, as volume is proportional to the square of the radius.

Front

What is the relationship between the height and volume of a cone?

Back

The volume of a cone increases linearly with height, while the base area (πr²) affects the volume quadratically.

Front

What is the approximate value of π used in calculations?

Back

π is approximately 3.14.

Front

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

Back

Multiply the volume in cubic inches by 16.387 to convert to cubic centimeters.

Front

What is the volume of a cylinder with a radius of 4 inches and a height of 10 inches?

Back

Volume = π(4)²(10) = 160π in³ ≈ 502.65 in³.

Front

What is the volume of a sphere with a radius of 5 m?

Back

Volume = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 m³.