Volume of a Cylinder

Front

What is the shape of a right circular cylinder?

Back

A right circular cylinder has two parallel circular bases connected by a curved surface at a fixed distance from the center.

Front

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

Back

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

Front

How do you calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

V = π(3 cm)²(5 cm) = 45π cm³ ≈ 141.4 cm³.

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

V = π(4 cm)²(10 cm) = 160π cm³ ≈ 502.7 cm³.

Front

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

Back

The volume increases by a factor of 4, since volume is proportional to the square of the radius.

Front

What is the height of a cylinder if its volume is 100 cm³ and the radius is 2 cm?

Back

Using V = πr²h, we have 100 = π(2)²h, so h = 100/(4π) ≈ 7.96 cm.

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 volume of a cylinder with a radius of 5 cm and a height of 2 cm?

Back

V = π(5 cm)²(2 cm) = 50π cm³ ≈ 157.1 cm³.

Front

What is the volume of a cylinder with a height of 8 ft and a radius of 3 ft?

Back

V = π(3 ft)²(8 ft) = 72π ft³ ≈ 226.9 ft³.

Front

What is the volume of a cylinder with a radius of 1 cm and a height of 10 cm?

Back

V = π(1 cm)²(10 cm) = 10π cm³ ≈ 31.4 cm³.