Grade 6 Sphere Challenges: Volume, Area, and Graphing

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

• 5000 cubic inches

• 7238.23 cubic inches

• 15000 cubic inches

• 9000 cubic inches

A globe has a diameter of 30 cm. Convert the diameter to meters and find the radius in meters.

• 0.1 m

• 0.3 m

• 0.2 m

• 0.15 m

If a sphere has a surface area of 314 square centimeters, what is its radius? (Use the formula A = 4 × π × r²)

• 10 cm

• 7 cm

• 3 cm

• 5 cm

A marble is a perfect sphere with a radius of 2 cm. How many marbles can fit in a box that is 20 cm long, 10 cm wide, and 10 cm high?

• 100

• 59

• 50

• 75

You have a spherical balloon with a radius of 5 inches. If you inflate it to a radius of 10 inches, how much more air (in cubic inches) is needed?

• 314.2

• 500

• 1256.6

• 3661.9

Graph the equation of a sphere with the center at (2, 3, 4) and a radius of 5. What are the coordinates of a point on the surface of the sphere?

• (2, 8, 4)

• (7, 3, 9)

• (7, 3, 4)

• (2, 3, 9)

A soccer ball has a circumference of 68 cm. What is the radius of the ball in centimeters? (Use the formula C = 2 × π × r)

• 8.5 cm

• 12.56 cm

• 15.7 cm

• 10.83 cm

If a tennis ball has a volume of 125 cubic centimeters, what is its radius? (Use the formula V = 4/3 × π × r³)

• 5.25 cm

• 3.07 cm

• 4.00 cm

• 2.50 cm

A spherical water tank has a radius of 1.5 meters. How many liters of water can it hold? (1 cubic meter = 1000 liters)

• 14137.17 liters

• 12000 liters

• 15000 liters

• 13000 liters

You are designing a spherical garden pond with a radius of 4 feet. What is the surface area of the pond in square feet? (Use the formula A = 4 × π × r²)

• 200.96 square feet

• 100.48 square feet

• 250.12 square feet

• 150.80 square feet