The radius of one ball is twice the radius of the second ball. What is the volume of a ball with
| June 21, 2021 | education
The radius of one ball is twice the radius of the second ball. What is the volume of a ball with a larger radius if the volume of a ball with a smaller radius = 1 cm3?
The volume of the smaller ball is: V1 = 4 * π * R1 ^ 3/3 = 1 cm3.
The volume of the larger ball is: V2 = 4 * π * R2 ^ 3/3.
By condition, R2 = 2 * R1.
Then R23 = 8 * R1 ^ 3, then V2 = 4 * π * 8 * R1 ^ 3/3 = 8 * V1 = 8 cm2.
Answer: The volume of the larger ball is 8 cm3.
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