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A solid cylinder of radius 4 cm and height 16/3 cm is melted into 1000 identical solid spheres. Find the radius of the spheres in cm.
- a)
- b)0.4
- c)
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A solid cylinder of radius 4 cm and height 16/3 cm is melted into 1000...
Let the radius of the sphere be ‘r’ cm
The volume of cylinder = π x 4 x 4 x 16/3
So,
The volume of cylinder = π x 4 x 4 x 16/3
So,
► 4/3 x π x r3 x 1000 = π x 4 x 4 x 16/3
► r = 4/10= 0.4.
► r = 4/10= 0.4.
Hence Option 2
Most Upvoted Answer
A solid cylinder of radius 4 cm and height 16/3 cm is melted into 1000...
Let the radius of the sphere be ‘r’ cm
The volume of cylinder = π x 4 x 4 x 16/3
So,
The volume of cylinder = π x 4 x 4 x 16/3
So,
► 4/3 x π x r3 x 1000 = π x 4 x 4 x 16/3
► r = 4/10= 0.4.
► r = 4/10= 0.4.
Hence Option 2
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Community Answer
A solid cylinder of radius 4 cm and height 16/3 cm is melted into 1000...
Let the radius of the sphere be ‘r’ cm
The volume of cylinder = π x 4 x 4 x 16/3
So,
The volume of cylinder = π x 4 x 4 x 16/3
So,
► 4/3 x π x r3 x 1000 = π x 4 x 4 x 16/3
► r = 4/10= 0.4.
► r = 4/10= 0.4.
Hence Option 2
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A solid cylinder of radius 4 cm and height 16/3 cm is melted into 1000 identical solid spheres. Find the radius of the spheres in cm.a)b)0.4c)d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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