Exploring Volume: Cylinders, Spheres, and Cones for 8th Graders

A cylinder has a radius of 3 cm and a height of 5 cm. What is the volume of the cylinder?

• 30π cm³

• 60π cm³

• 15π cm³

• 45π cm³

A sphere has a radius of 4 cm. Calculate the volume of the sphere. Use the formula V = 4/3πr³.

• Approximately 314.16 cm³

• Approximately 268.08 cm³

• Approximately 150.72 cm³

• Approximately 200.00 cm³

If a cone has a radius of 2 cm and a height of 6 cm, what is its volume?

• 4π cm³

• 8π cm³

• 10π cm³

• 12π cm³

Compare the volume of a cylinder with a radius of 3 cm and height of 7 cm to a sphere with a radius of 4 cm. Which one has a greater volume?

• The cylinder has a greater volume.

• The sphere has a greater volume.

• Both have the same volume.

• The cylinder has a smaller volume.

A water tank is in the shape of a cylinder with a diameter of 10 m and a height of 2 m. How much water can it hold?

• 200 m³

• 50 m³

• 100 m³

• Approximately 157 m³

A cone has a base radius of 5 cm and a height of 12 cm. What is the volume of the cone?

• 120π cm³

• 60π cm³

• 80π cm³

• 100π cm³

If a sphere has a volume of 100 cm³, what is its radius? (Use V = 4/3πr³ and solve for r)

• 4.000 cm

• 2.500 cm

• 5.000 cm

• 3.419 cm

A cylindrical can has a height of 10 cm and a radius of 4 cm. How does its volume compare to a sphere with a radius of 4 cm?

• The volume of the sphere is greater than the volume of the cylinder.

• The volume of the cylinder is equal to the volume of the sphere.

• The volume of the cylinder is less than the volume of the sphere.

• The volume of the cylinder is greater than the volume of the sphere.

A basketball has a diameter of 24 cm. Calculate its volume and compare it to a soccer ball with a diameter of 22 cm. Which ball has a larger volume?

• Both balls have the same volume.

• The basketball's volume is half that of the soccer ball.

• The soccer ball has a larger volume than the basketball.

• The basketball has a larger volume than the soccer ball.

If a cone and a cylinder have the same base radius of 3 cm and height of 9 cm, how do their volumes compare?

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

• The volumes of the cone and cylinder are equal.

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

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