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If the side of a cubical watermalon is equal to the diameter of a spherical watermalon and they are to be stacked in boxes , than which one would occupy more space than other??

Posted by Minarva Bailung 4 years, 11 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 4 years, 4 months ago

From given, we have, The side of a cubical watermelon is equal to the diameter of a spherical watermelon. The volume of a cube = a³ The volume of a sphere = 4/3 πr² Let us consider the radius of the sphere is "x" Then, we get The volume of a cube = (2x)³ = 8x³ The volume of a sphere = 4/3 πx² let us take, x = 2 cm Then, we have, The volume of a cube = 8x³ = 8×2³ = 64 The volume of a sphere = 4/3 πx² = 4/3 × 3.14 × 2² = 16.74 Thus the cubical watermelon would occupy more space than the other

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CBSE > Class 09 > Mathematics