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A tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic meters?
  • a)
    37500π
  • b)
    87500π/3
  • c)
    26500π/3
  • d)
    25000π
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A tent has been constructed which is in the form of a right circular c...
Height of the cone = Total height – Height of the cylinder = 15 – 10 = 5 cm
Radius of the cone = Radius of the cylinder = 50 m
Total volume of tent = Volume of cylinder + Volume of cone
⇒ πr2H + 1/3 × πr2h
⇒ π502 × 10 + 1/3 × π502 × 5
⇒ 502 × π × (10 + 5/3)
⇒ 2500 × 35/3 × π
⇒ 87500π/3 cm3
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A tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic meters?a)37500πb)87500π/3c)26500π/3d)25000πCorrect answer is option 'B'. Can you explain this answer?
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A tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic meters?a)37500πb)87500π/3c)26500π/3d)25000πCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic meters?a)37500πb)87500π/3c)26500π/3d)25000πCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic meters?a)37500πb)87500π/3c)26500π/3d)25000πCorrect answer is option 'B'. Can you explain this answer?.
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