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Radius of sphere is doubled. What …

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Radius of sphere is doubled. What percentage of volume is increased?

Posted by Himshikha Singh 7 years, 11 months ago

CBSE > Class 09 > Mathematics

1 answers

Shivam Malik 7 years, 11 months ago

Let the radius be required Volume of sphere = 4/3 pie r 3 When radius is doubled, we have New volume = 4/3 pie (2r)3 = 32/3 pie r3 Original volume / New volume = 4/3 pie r3 × 3/32 pie r3 = 1/8 = 1:8 Increased per cent in volume = (New volume - Original volume )/Original volume × 100 per cent = (8-1)/1 × 100 per cent = 700 per cent

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