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

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

Back

Radius = Diameter / 2.

Front

What is the relationship between diameter and radius in a cylinder?

Back

The diameter is twice the radius.

Front

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

Back

Volume = π(3 cm)²(10 cm) = 90π cm³ ≈ 282.74 cm³.

Front

What units are used to measure the volume of a cylinder?

Back

Cubic units, such as cubic centimeters (cm³) or cubic meters (m³).

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 2 cm?

Back

Volume = π(5 cm)²(2 cm) = 50π cm³ ≈ 157.08 cm³.

Front

How does increasing the height of a cylinder affect its volume?

Back

Increasing the height increases the volume proportionally.

Front

What happens to the volume of a cylinder if the radius is doubled?

Back

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

Front

If a cylinder has a volume of 100 cm³ and a height of 5 cm, what is the radius?

Back

Radius = √(Volume / (πh)) = √(100 cm³ / (π * 5 cm)) ≈ 2.52 cm.

Front

What is the volume of a cylinder with a diameter of 8 cm and a height of 10 cm?

Back

Volume = π(4 cm)²(10 cm) = 160π cm³ ≈ 502.65 cm³.