Volume of Cylinders

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 units are used to measure volume?

Back

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

Front

What does it mean if a volume is expressed in cubic units?

Back

It indicates that the measurement is three-dimensional, representing the space occupied by an object.

Front

If the radius of a cylinder is doubled, how does that affect the volume?

Back

The volume increases by a factor of four, since volume is proportional to the square of the radius.

Front

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

Back

Volume = π(3 cm)²(5 cm) ≈ 141.37 cm³.

Front

What is the significance of the height in the volume of a cylinder?

Back

Height determines how tall the cylinder is, affecting the overall volume.

Front

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

Back

Volume = π(4 m)²(10 m) ≈ 502.65 m³.

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 7 cm?

Back

First, find the radius (5 cm). Volume = π(5 cm)²(7 cm) ≈ 1098.17 cm³.

Front

What is the volume of a cylinder with a radius of 2 inches and a height of 8 inches?

Back

Volume = π(2 in)²(8 in) ≈ 100.53 in³.

Front

What is the volume of a cylinder with a radius of 1.5 m and a height of 3 m?

Back

Volume = π(1.5 m)²(3 m) ≈ 21.21 m³.