A right angle triangle shaped piece of hard board is rotated completely about itshypotenuse, as shown in the diagram. The solid so formed is always:1. a single cone2. a double coneWhich of the statement is valid?(a) only 1.(b) only 2.(c) both 1. and 2.(d) neither 1. nor 2
Question
A right angle triangle shaped piece of hard board is rotated completely about itshypotenuse, as shown in the diagram. The solid so formed is always:1. a single cone2. a double coneWhich of the statement is valid?(a) only 1.(b) only 2.(c) both 1. and 2.(d) neither 1. nor 2
Solution
The correct answer is (b) only 2.
Here's why:
When a right-angled triangle is rotated about its hypotenuse, the shape formed is a double cone. This is because the hypotenuse becomes the common axis of the two cones, with the two other sides of the triangle forming the slant heights of the two cones.
So, statement 2 is valid.
Statement 1 is not valid because a single cone would only be formed if the triangle was rotated about one of its sides other than the hypotenuse.
Therefore, the answer is (b) only 2.
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