Surface 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 the term 'capacity' refer to in relation to cylinders?

Back

Capacity refers to the amount of space inside the cylinder, which is measured in cubic units.

Front

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

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

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

Which unit would NOT be appropriate for measuring volume?

Back

Square miles.

Front

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

Back

Diameter = 2 × Radius.

Front

How do you calculate the surface area of the base of a cylinder?

Back

Surface Area of Base = πr².

Front

If a cylinder has a height of 10 cm and a radius of 4 cm, what is its lateral surface area?

Back

Lateral Surface Area = 2π(4)(10) = 80π ≈ 251.33 cm².

Front

What is the total surface area of a cylinder?

Back

Total Surface Area = 2πr(h + r).

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.