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A triangle is rotated about an axis which coincides with one of its sides. If the sides of triangle are 7 cm, 24 cm and 25 cm, then what is the maximum possible volume(in cm3) that is generated in space by rotating the triangle?
    Correct answer is '4224'. Can you explain this answer?

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    Solution: 7, 24 and 25 is a Pythagorean triplet.When a triangle is rotated about one of its perpendicular sides then a cone is formed in space. 
    To maximize this volume we need to maximize r2. So if the cone is rotated about the 7 cm side, we will get r as 24. This would give the maximum volume. 
    Answer: 4224

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    A triangle is rotated about an axis which coincides with one of itssides. If the sides of triangle are 7 cm, 24 cm and 25 cm, then what is the maximum possible volume(in cm3) that is generated in space by rotating the triangle?Correct answer is '4224'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A triangle is rotated about an axis which coincides with one of itssides. If the sides of triangle are 7 cm, 24 cm and 25 cm, then what is the maximum possible volume(in cm3) that is generated in space by rotating the triangle?Correct answer is '4224'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A triangle is rotated about an axis which coincides with one of itssides. If the sides of triangle are 7 cm, 24 cm and 25 cm, then what is the maximum possible volume(in cm3) that is generated in space by rotating the triangle?Correct answer is '4224'. Can you explain this answer?.
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    Solution: 7, 24 and 25 is a Pythagorean triplet.When a triangle is rotated about one of its perpendicular sides then a cone is formed in space.To maximize this volume we need to maximize r2. So if the cone is rotated about the 7 cm side, we will get r as 24. This would give the maximum volume.Answer: 4224