How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?
Answers
Answered by
7
hiii!!!
here's Ur answer...
given radius of the hemisphere is 6cm.
volume of the hemisphere = 2/3πr³
= 2/3 × 22/7 × 6 × 6 × 6
= 44/21 × 216
= 9504/21cm³
volume of sphere ( r = 1cm ) = 4/3πr³
= 4/3 × 22/7 × 1 × 1 × 1
= 88/21cm³
no. of spheres can be made from the hemisphere = 9504/21 × 21/88
= 108
hence, 108 spherical ball can be made by melting the hemisphere.
hope this helps..!!
here's Ur answer...
given radius of the hemisphere is 6cm.
volume of the hemisphere = 2/3πr³
= 2/3 × 22/7 × 6 × 6 × 6
= 44/21 × 216
= 9504/21cm³
volume of sphere ( r = 1cm ) = 4/3πr³
= 4/3 × 22/7 × 1 × 1 × 1
= 88/21cm³
no. of spheres can be made from the hemisphere = 9504/21 × 21/88
= 108
hence, 108 spherical ball can be made by melting the hemisphere.
hope this helps..!!
Answered by
1
Answer:
108
Step-by-step explanation:
you don't have to do such lengthy calculation
just area of hemisphere = 2/3 π (6)³
area of sphere or radius 1 cm = 4/3 π (1)³
= 4/3 π
now decide
2/3 π(6)³ devided by 4/3 π
we get = (6)³ / 2
= 216/2 = 108
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