Volume & Surface Area of a Cylinder

Front

What is the formula for the volume of a cylinder?

Back

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

Front

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

Back

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

Front

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

Back

The variable 'h' represents the height of the cylinder.

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)²(5) = 45π cm³ ≈ 141.4 cm³.

Front

What is the formula for the surface area of a cylinder?

Back

SA = 2πr(h + r), where SA is surface area, r is radius, and h is height.

Front

How do you find the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh.

Front

What is the total surface area of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

SA = 2π(4)(10) + 2π(4)² = 88π cm² ≈ 276.5 cm².

Front

What is the difference between radius and diameter?

Back

The radius is half the diameter; diameter = 2 × radius.

Front

If a cylinder has a diameter of 10 cm, what is its radius?

Back

Radius = Diameter / 2 = 10 cm / 2 = 5 cm.

Front

What is the volume of a cylinder with a radius of 7 cm and a height of 10 cm?

Back

V = π(7)²(10) = 490π cm³ ≈ 1539.4 cm³.