Volume and Surface Area 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

How do you find the radius of a cylinder if you know the diameter?

Back

Radius = Diameter / 2.

Front

What is the approximate value of π (pi) used in calculations?

Back

π is approximately 3.14.

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

Volume = π(3)²(10) = 282.6 cm³.

Front

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

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

How do you calculate 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 5 cm?

Back

Total Surface Area = 2π(4)(5) + 2π(4)² = 100.48 cm².

Front

What happens to the volume of a cylinder if the height is doubled?

Back

The volume also doubles, since volume is directly proportional to height.

Front

If a cylinder has a volume of 1000 cm³ and a height of 10 cm, what is the radius?

Back

Radius = √(Volume / (πh)) = √(1000 / (π * 10)) ≈ 5.64 cm.

Front

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

Back

Volume increases with the square of the radius (if height is constant).