Question 1: Calculate the volume of a sphere with a radius of 3 cm using ⁴⁄₃πr³.

Answer: 113.1

Question 2: Find the radius of a sphere if its volume is 904.8 cm³, using the volume formula.

Answer: 6

Question 3: Calculate the volume of a sphere with radius 5 cm.

Answer: 523.6

Question 4: A sphere has a radius of 7 cm. What is its volume?

Answer: 1436.8

Question 5: Construct a sphere with a radius of 4 cm and calculate its volume.

Answer: 268.1

Question 6: A balloon has a radius of 10 cm. What is its volume? Round to one decimal place.

Answer: 4188.8

Question 7: Determine the radius of a sphere if its volume is 502.4 cm³.

Answer: 3

Question 8: Calculate the volume of a sphere with radius 8 cm and compare it to the volume with radius 4 cm. What is the ratio of their volumes?

Answer: 8

Question 9: A sphere's radius is increased from 3 cm to 6 cm. How many times does its volume increase?

Answer: 8

Question 10: Identify and correct the mistake: A student calculated the volume of a sphere with radius 5 cm as 392.7 cm³, using the formula ⁴⁄₃πr³.

Answer: The correct volume is approximately 523.6 cm³; the student underestimated the value of π or miscalculated.

Question 11: A toy ball has a radius of 12 cm. Calculate its volume and explain how the volume would change if the radius is doubled.

Answer: The volume with radius 12 cm is approximately 7238.2 cm³. If the radius is doubled to 24 cm, the volume increases by a factor of 8, becoming approximately 57905.6 cm³.