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If a spherical bowl of radius 33 cm which is full of drink is poured into 11 same volume cylindrical pot of height 22 cm. Find the circumference of base of a cylindrical pot.
  • a)
    92 cm
  • b)
    132√22/7 cm
  • c)
    √22/21 cm
  • d)
    132/7 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If a spherical bowl of radius 33 cm which is full of drink is poured i...
Let R = radius of sphere
Volume of sphere = (4/3)πR3
= (4/3) π × 333
= 47916π
Let r = radius of base of cylindrical pot and h = height of pot
Volume of cylindrical pot 
= πr2h
= 22π × r2
Volume of 11 cylindrical pot = 242πr2
Given,
⇒ 47916π = 242πr2
⇒ 47916 = 242r2
⇒ r2 = 47916/242
⇒ r2 = 198
⇒ r = 3√22 cm
Circumference of base of cylindrical pot = 2 × (22/7) × (3√22) = 132√22/7 cm
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If a spherical bowl of radius 33 cm which is full of drink is poured into 11 same volume cylindrical pot of height 22 cm. Find the circumference of base of a cylindrical pot.a)92 cmb)132√22/7 cmc)√22/21 cmd)132/7 cmCorrect answer is option 'B'. Can you explain this answer?
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If a spherical bowl of radius 33 cm which is full of drink is poured into 11 same volume cylindrical pot of height 22 cm. Find the circumference of base of a cylindrical pot.a)92 cmb)132√22/7 cmc)√22/21 cmd)132/7 cmCorrect answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If a spherical bowl of radius 33 cm which is full of drink is poured into 11 same volume cylindrical pot of height 22 cm. Find the circumference of base of a cylindrical pot.a)92 cmb)132√22/7 cmc)√22/21 cmd)132/7 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a spherical bowl of radius 33 cm which is full of drink is poured into 11 same volume cylindrical pot of height 22 cm. Find the circumference of base of a cylindrical pot.a)92 cmb)132√22/7 cmc)√22/21 cmd)132/7 cmCorrect answer is option 'B'. Can you explain this answer?.
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