Quiz on Volume of Curvilinear Solids

What is the formula for the volume of a cylinder?

• V = πr²h

• V = 4/3πr³

• V = 1/3πr²h

• V = 2πrh

What is the formula for the volume of a cone?

• V = πr²h

• V = 4/3πr³

• V =πr²h

  3

• V = 2πrh

What is the relationship between the volume of a cylinder and a cone with the same base radius and height?

• The volume of the cylinder is twice the volume of the cone.

• The volume of the cone is twice the volume of the cylinder.

• The volume of the cylinder is three times the volume of the cone.

• The volume of the cone is three times the volume of the cylinder.

What is the value of π (pi) approximately?

• 3.14

• 2.718

• 1.618

• 1.414

What is the radius of a cylinder with a diameter of 10 cm?

• 5 cm

• 10 cm

• 20 cm

• 5π cm

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

• 785 cm³

• 125 cm³

• 750 cm³

• 107 cm³

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

• 84.78 cm³

• 254.34 cm³

• 367 cm³

• 85.3 cm³

A cylinder has a volume of 900 cm³. If a cone with the same base radius and height is placed inside the cylinder, what is the volume of the cone?

• 333.33 cm³

• 300 cm³

• 666.67 cm³

• 1000 cm³

A cone has a volume of 24 cm³. If the height and radius of the cylinder is same, what is the volume of a cylinder.

• 12 cm³

• 8 cm³

• 72 cm³

• 96 cm³

A cylinder and a cone have the same base radius and height. If the volume of the cylinder is 180 cm³, what is the volume of the cone?

• 30 cm³

• 60 cm³

• 90 cm³

• 180 cm³