Volume and Surface Area of Spheres: A 6th Grade Challenge

A basketball has a radius of 12 inches. What is the volume of the basketball? (Use the formula V = 4/3 × π × r³)

• 7238.23 cubic inches

• 5000 cubic inches

• 15000 cubic inches

• 3000 cubic inches

A globe has a diameter of 30 cm. What is the surface area of the globe? (Use the formula SA = 4 × π × r²)

• 2827.43 cm²

• 1500.00 cm²

• 3768.80 cm²

• 3141.59 cm²

A marble is a perfect sphere with a radius of 2 cm. Calculate the volume of the marble.

• 50.24 cm³

• 12.57 cm³

• 33.51 cm³

• 25.12 cm³

If a soccer ball has a radius of 11 cm, what is its surface area?

• 484π cm² or approximately 1520.56 cm²

• 600 cm²

• 300π cm²

• 220π cm²

A decorative sphere has a radius of 5 inches. What is the volume of the sphere?

• 250 cubic inches

• 523.6 cubic inches

• 400 cubic inches

• 600 cubic inches

A planetarium dome is shaped like a sphere with a radius of 20 feet. What is the surface area of the dome?

• 3200π square feet

• 800π square feet

• 400π square feet

• 1600π square feet

A tennis ball has a radius of 3.5 cm. What is the volume of the tennis ball?

• 179.59 cm³

• 200.00 cm³

• 250.50 cm³

• 150.00 cm³

A Christmas ornament is a sphere with a diameter of 10 cm. Calculate its surface area.

• 400 cm²

• 150 cm²

• 250 cm²

• 314 cm²

If a water tank is in the shape of a sphere with a radius of 4 meters, what is its volume?

• 128π cubic meters

• 64π cubic meters

• 256π/3 cubic meters

• 512π/3 cubic meters

A giant beach ball has a radius of 1 meter. What is the surface area of the beach ball?

• 12.566370614359172 square meters

• 4 square meters

• 6.283185307179586 square meters

• 3.14 square meters