Question

find the number of balls eachof radius 1cm can be made from a solid splere of lead of radius 6cm

Answer 1

VOLUME OF BALL OF RADIUS 1 CM
= 4/3 π r ^3
= 4/3 π 1^3
= 4/3 π * 1 = 4/3π

VOLUME OF SPHERE OF 6 CM
$\frac{4}{3} \pi \times 6 {}^{3} = \frac{4}{3} \pi \times 216$
BALLS REQUIRED = (4/3π 216 ) / (4/3π )
= 216

Answer 2

HEYA !!

HERE IS YOUR ANSWER

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Let the radius of big sphere be R and the radius of small sphere be r.

No. of balls that can be made
= Volume of big sphere / Volume of small sphere
= (4/3 pie R^3)/(4/3 pie r^3)
= R^3/r^3
= 6^3/1^3
= 216

Therefore, 216 balls can be made.

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# GUDIYA

HOPE IT HELPS !! ☺☺✌✌