Volume of a Cylinder

Front

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

Back

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

Front

What does the term 'radius' refer to in a circle?

Back

The radius is the distance from the center of the circle to any point on its circumference.

Front

What does the term 'diameter' refer to in a circle?

Back

The diameter is the distance across the circle through its center, equal to twice the radius.

Front

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

Back

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

Front

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

Back

1 liter = 1000 cm³. Divide the volume in cm³ by 1000 to convert to liters.

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 is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the radius: Diameter = 2 × Radius.

Front

What is π (pi) approximately equal to?

Back

π is approximately equal to 3.14.

Front

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

Back

The volume of the cylinder also doubles if the radius remains the same.

Front

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

Back

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