The diameter of sphere is equal to an edge of the cube . Find the ratio of their volume ?
PLEASE HELP ME . MY EXAM,S ARE TOMORROW
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7
edge of cube=a
diameter of sphere=2a
radius of sphere=a
volumes of cube/volume of sphere
a^3/4÷3 πa^3
1/88÷21
ratio is 21:88
Answered by
2
d = a
r/2 = a
r = 2a.
volume of shere = (4/3)π r³
= (4/3) π (2a)³
=(4/3)π × 8a³
Volume of cube = a³
Ratio = [(4/3)π × 8a³]/ a³
= (4/3)π × 8 = 32π/3
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