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 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 itssid...
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.
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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?
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