Volume & Surface Area of a Cylinder

Front

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

Back

Total Surface Area = 2πr(h + r)

Front

What does 'r' represent in the formula V=πr²h?

Back

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

Front

What does 'h' represent in the formula V=πr²h?

Back

'h' represents the height of the cylinder.

Front

How do you calculate the volume of a cylinder?

Back

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

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius.

Front

If the radius of a cylinder is 3 cm and the height is 5 cm, what is the volume?

Back

Volume = π(3)²(5) = 45π ≈ 141.37 cm³.

Front

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

Back

Total Surface Area = 2π(4)(10 + 4) = 2π(4)(14) = 112π ≈ 351.86 cm².

Front

What is the difference between the volume and surface area of a cylinder?

Back

Volume measures the space inside the cylinder, while surface area measures the total area of its outer surface.

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h.

Front

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

Back

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