Volume

Front

What is volume?

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Front

How do you calculate the volume of a cone?

Back

Volume of a cone = (1/3) × π × r² × h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

Volume of a sphere = (4/3) × π × r³, where r is the radius.

Front

How do you find the volume of a cylinder?

Back

Volume of a cylinder = π × r² × h, where r is the radius and h is the height.

Front

What is the difference between radius and diameter?

Back

Radius is half the diameter; diameter is the distance across the circle through the center.

Front

What units are used to measure volume?

Back

Common units for volume include cubic centimeters (cm³), liters (L), and cubic meters (m³).

Front

If a basketball has a radius of 6 inches, what is its volume?

Back

Volume = (4/3) × π × (6)³ ≈ 904.32 cubic inches.

Front

What is the volume of a cone with a radius of 3 cm and a height of 5 cm?

Back

Volume = (1/3) × π × (3)² × (5) ≈ 47.12 cm³.

Front

How can you compare the volumes of two cylinders?

Back

Compare their volumes using the formula: Volume = π × r² × h for each cylinder.

Front

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

Back

Volume = π × (4)² × (10) ≈ 502.65 cm³.