Volume of Cylinder

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

Front

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

Back

The volume is V = π(5 cm)²(10 cm) = 250π cm³ ≈ 785.4 cm³.

Front

What is the relationship between radius and diameter?

Back

The diameter of a circle is twice the radius. Diameter = 2 × Radius.

Front

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

Back

1 liter = 1000 cubic centimeters. To convert, divide the volume in cm³ by 1000.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

V = π(3 cm)²(7 cm) = 63π cm³ ≈ 197.9 cm³.

Front

What does π (pi) represent in the volume formula?

Back

π (pi) is a mathematical constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

Front

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

Back

If the height is doubled, the volume also doubles, since volume is directly proportional to height.

Front

What is the volume of a cylinder with a base radius of 4 cm and a height of 5 cm?

Back

V = π(4 cm)²(5 cm) = 80π cm³ ≈ 251.3 cm³.

Front

How do you find the height of a cylinder if you know the volume and radius?

Back

Rearrange the volume formula: h = V / (πr²).

Front

What is the volume of a cylinder with a radius of 6 cm and a height of 2 cm?

Back

V = π(6 cm)²(2 cm) = 72π cm³ ≈ 226.2 cm³.