Volume of a Sphere

What is the relationship between the volume of a sphere and the volume of a cone, assuming they have the same radius and the height of the cone is equal to the diameter of the sphere?

• Volume of sphere = 1/2 * Volume of cone

• Volume of sphere = 2 * Volume of cone

• Volume of sphere = 3 * Volume of cone

• Volume of sphere = 4 * Volume of cone

How many cones are needed to fill a cylinder of the same radius and height?

• 1

• 2

• 3

• 4

If a cone and a sphere have the same radius, and the height of the cone is equal to the diameter of the sphere, what fraction of a cylinder (with the same radius and height as the cone) can be filled by the water from one sphere?

• 1/3 of the cylinder

• 1/2 of the cylinder

• 2/3 of the cylinder

• The entire cylinder

What is the formula for the volume of a sphere?

• V = (1/3)πr²h

• V = πr²h

• V = (4/3)πr³

• V = 2πrh

What is the volume of a ball with a diameter of 6 centimeters? Use 3.14 for π.

• 113.04 cm³

• 36 cm³

• 27 cm³

• 108 cm³

A sphere has a surface area of 1519.76 cm². What is its volume? Use 3.14 for π.

• 5572.45 cm³

• 121 cm³

• 1331 cm³

• 475.24 cm³

A corn silo is shaped like a cylinder with a hemisphere on top. The cylinder has a height of 10 meters and the silo has a diameter of 4 meters. How many cubic meters of corn can be stored in the silo? Use 3.14 for π.

• 142.3 m³

• 40 m³

• 5.33 m³

• 136.0 m³

What is the volume of a composite figure consisting of a hemisphere with a radius of 2 inches and a cone with a radius of 2 inches and a height of 6 inches? Use 3.14 for π.

• 41.76 cubic inches

• 13.3 cubic inches

• 25.12 cubic inches

• 16.75 cubic inches

A sphere has a radius of 19 inches. What is its volume? Use 3.14 for π.

• 28716.24 cubic inches

• 9145.33 cubic inches

• 14358.12 cubic inches

• 3617.03 cubic inches

A soccer ball has a surface area of approximately 1017.36 cm². What is its volume, rounded to the nearest whole number? Use 3.14 for π.

• 3052 cm³

• 972 cm³

• 243 cm³

• 4070 cm³