CAT Question > A triangle is rotated about an axis which coi...

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 cm^{3}) that is generated in space by rotating the triangle?

Correct answer is '4224'. Can you explain this answer?

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 r^{2}. 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

View courses related to this question | Explore CAT courses |

Explore CAT courses View courses related to this question |

1 Crore+ students have signed up on EduRev. Have you? |

Question Description

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?.

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?.

Solutions 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? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.

Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice CAT tests.

Do you know? How Toppers prepare for CAT Exam

With help of the best CAT teachers & toppers, We have prepared a guide for student who are
preparing for CAT : 15 Steps to clear CAT Exam

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