Volume of cylinders

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

• Increasing the height decreases the volume.

• Increasing the height has no effect on the volume.

• Increasing the height increases the volume proportionally.

• Increasing the height increases the volume exponentially.

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

• 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).

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

• 90π cm³

• 60π cm³

• 30π cm³

• 120π cm³

What is the volume of a cylinder with a diameter of 8 cm and a height of 10 cm?

• 160π cm³

• 400 cm³

• 502.65 cm³

• 250 cm³

What is the volume of a cylinder with a radius of 5 cm and a height of 2 cm?

• 50π cm³

• 30π cm³

• 40π cm³

• 60π cm³

If a cylinder has a volume of 50 m³ and a radius of 2 m, what is its height?

• 2.50 m

• 3.98 m

• 5.00 m

• 4.25 m

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

• The diameter is twice the radius.

• The diameter is half the radius.

• The diameter is equal to the radius.

• The diameter is three times the radius.

What is the volume of a cylinder with a radius of 7 cm and a height of 3 cm?

• 147π cm³ (≈ 461.81 cm³)

• 100 cm³

• 200 cm³

• 300 cm³

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

• Radius = Diameter / 2.

• Radius = Diameter x 2.

• Radius = Diameter + 2.

• Radius = Diameter - 2.

If a cylinder has a volume of 100 cm³ and a height of 5 cm, what is the radius?

• 2.52 cm

• 3.14 cm

• 1.75 cm

• 4.00 cm