Area Circles and 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

What does 'r' represent in the volume formula of a cylinder?

Back

'r' represents the radius of the base of the cylinder.

Front

What does 'h' represent in the volume formula of a cylinder?

Back

'h' represents the height of the cylinder.

Front

How do you calculate the area of a circle?

Back

Area = πr², where r is the radius of the circle.

Front

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

Back

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

Front

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

Back

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

Front

What is the volume of a cylinder with a radius of 3 in and a height of 5 in?

Back

Volume = π(3 in)²(5 in) = 45π in³ ≈ 141.37 in³.

Front

A cylinder has a height of 10 cm and a radius of 2 cm. What is its volume?

Back

Volume = π(2 cm)²(10 cm) = 40π cm³ ≈ 125.66 cm³.

Front

What is the volume of a cylinder with a diameter of 4 in and a height of 6 in?

Back

Volume = π(2 in)²(6 in) = 24π in³ ≈ 75.40 in³.

Front

If a cylinder has a volume of 100 in³ and a height of 5 in, what is the radius?

Back

Radius = √(Volume / (πh)) = √(100 in³ / (5 inπ)) ≈ 2.52 in.