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

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

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 does 'π' represent in the formulas for volume and surface area?

Back

π (Pi) is a mathematical constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

Front

How do you calculate the height of a cylinder if you know the volume and radius?

Back

Rearrange the volume formula: h = Volume / (πr²).

Front

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

Back

Diameter = 2 × Radius.

Front

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

Back

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

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 7 cm?

Back

Volume = π(2)²(7) = 28π ≈ 87.96 cm³.

Front

How does increasing the height of a cylinder affect its volume?

Back

Increasing the height increases the volume proportionally, as volume is directly proportional to height.

Front

What is the surface area of a cylinder with a radius of 5 cm and a height of 3 cm?

Back

Surface Area = 2π(5)(3 + 5) = 2π(5)(8) = 80π ≈ 251.33 cm².