Volume of Cylinder

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 does the diameter of a cylinder represent?

Back

The diameter is the distance across the circular base of the cylinder, passing through the center.

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

Volume = π(5 cm)²(10 cm) = 785.4 cm³.

Front

How do you find the radius if you know the diameter?

Back

Radius = Diameter / 2.

Front

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

Back

The diameter is twice the radius.

Front

If a cylinder has a volume of 1000 cm³ and a height of 10 cm, what is the radius?

Back

Radius = √(Volume / (πh)) = √(1000 cm³ / (π * 10 cm)) ≈ 5.64 cm.

Front

What is the height of a cylinder with a volume of 314 cm³ and a radius of 5 cm?

Back

Height = Volume / (πr²) = 314 cm³ / (π * (5 cm)²) ≈ 4 cm.

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 3 cm and a height of 7 cm?

Back

Volume = π(3 cm)²(7 cm) ≈ 197.9 cm³.

Front

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

Back

Increasing the height increases the volume, as volume is directly proportional to height.