Volume of Cylinders Flashcard

Front

What is the formula to calculate the volume of a cylinder?

Back

V = πr²h, where V is volume, r is radius, and h is height.

Front

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

Back

V = π(5)²(10) = 250π cm³ (approximately 785.4 cm³).

Front

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

Back

The diameter is twice the radius. (d = 2r)

Front

What is the base shape of a cylinder?

Back

A circle.

Front

If the height of a cylinder is doubled while keeping the radius constant, how does the volume change?

Back

The volume also doubles.

Front

What is the area of the base of a cylinder with a radius of 3 cm?

Back

A = π(3)² = 9π cm² (approximately 28.3 cm²).

Front

If the radius of a cylinder is halved, how does the volume change?

Back

The volume decreases to one-fourth of the original volume.

Front

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

Back

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

Front

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

Back

Cubic centimeters (cm³) or liters.

Front

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

Back

Using V = πr²h, r = √(100/(5π)) ≈ 2.52 cm.