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Question
If a right angled triangle is rotated about one of its perpendicular sides, then the shape obtained will be a _______.
If a right angled triangle is rotated about one of its perpendicular sides, then the shape obtained will be a _______.
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Solution
The correct option is A cone
In the above figure, ‘I’ is the slant height, ‘h’ is the height and ‘r’ is the radius of the cone.
The sides corresponding to ‘h’ and ‘r’ are perpendicular to each other.
So, the three sides corresponding to ‘h’, ‘r’ and ‘I’ form a right-angled triangle.
When we rotate the triangle about one of its perpendicular sides, which, in this case, is ‘h’, the shape obtained is a cone as illustrated in the figure.
In the above figure, ‘I’ is the slant height, ‘h’ is the height and ‘r’ is the radius of the cone.
The sides corresponding to ‘h’ and ‘r’ are perpendicular to each other.
So, the three sides corresponding to ‘h’, ‘r’ and ‘I’ form a right-angled triangle.
When we rotate the triangle about one of its perpendicular sides, which, in this case, is ‘h’, the shape obtained is a cone as illustrated in the figure.
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