Volume and Surface Area of Cylinders

What is the effect of doubling the radius of a cylinder on its volume?

• The volume remains the same.

• The volume increases by a factor of two.

• The volume increases by a factor of three.

• The volume increases by a factor of four, since volume is proportional to the square of the radius.

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

• 28π cm³ (≈ 87.96 cm³)

• 14π cm³ (≈ 43.98 cm³)

• 20π cm³ (≈ 62.83 cm³)

• 30π cm³ (≈ 94.25 cm³)

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

• Diameter = Radius × 2

• Diameter = Radius + 2

• Diameter = 2 × Radius

• Diameter = Radius / 2

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

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

• Increasing the height decreases the volume.

• The height has no effect on the volume of the cylinder.

• Increasing the height increases the volume, but not proportionally.

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

• 30 cm³

• 45π cm³

• 100 cm³

• 60 cm³

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

• 112π cm² (≈ 351.86 cm²)

• 80π cm² (≈ 251.33 cm²)

• 96π cm² (≈ 301.59 cm²)

• 100π cm² (≈ 314.16 cm²)

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

• 150 cm²

• 200 cm²

• 251.33 cm²

• 300 cm²

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

• Surface Area = πr²h

• Surface Area = 2πrh + 2πr²

• Surface Area = 2πr(h + r)

• Surface Area = πr(h + r)

What is the volume of a cylinder with a radius of 1 cm and a height of 10 cm?

• 10 cm³

• 20 cm³

• 31.42 cm³

• 15 cm³

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

• h = Volume / (πr²)

• h = (Volume × π) / r

• h = Volume / (2πr)

• h = πr² / Volume