If the radius of a sphere becomes 3 times of a previous radius then what percentage of its volume will be increase
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✯Question✯
- If the radius of a sphere becomes 3 times of a previous radius then what percentage of its volume will be increased by how many times?
✬Given✬
- Radius of sphere = 3( previous radius of sphere )
✭To find✭
- Percent of the increased volume ( new volume )
- To find the new volume would increase by how many times the original volume
✵Solution✵
- Volume of sphere = ⁴⁄₃ πr³
- r = 3r ( radius becomes 3 times the original volume )
- Substitute in ⁴⁄₃πr³
- ⁴⁄₃π(3r)³
- 27 × ⁴⁄₃πr³
✶The new volume is increased by 27times the original volume✶
✬The percentage of increase volume is 27%✬
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Answer:
Volume of sphere = ⁴⁄₃ πr³
r = 3r ( radius becomes 3 times the original volume )
Substitute in ⁴⁄₃πr³
⁴⁄₃π(3r)³
27 × ⁴⁄₃πr³
Step-by-step explanation:
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