Question

What is the meaning of surmounted in Mathematics?

Answer 1

Hint: As we know that the word “ surmount” is a verb which means to deal successfully with a problem or obstacle. As for example we can say that – they managed to surmount all opposition/ objections to their plans. In this question we will understand the meaning of surmount in terms of mathematics.

Complete step-by-step answer:
Here in Mathematics the word surmounted means that it is on top of some object or some rectangular window that has a semi- circle on top.
We can say that the word surmounted by something indicates that something is positioned over. If we say that a cone lies over a cylinder, we can assume that a cone is mounted on a cylinder. But since that cone sits on a cylinder, we can assume that cylinder is surmounted by a cone.
Hence this is what the word surmounted means in Mathematics.

Note: Let us take an example of Mathematical problem with the word surmounted in it. It is- A window is in the shape of a rectangle surmounted by a semicircle opening. The total perimeter of the window is $ab$ meters. Let us draw an image to understand the same.

Here in the above image the semi- circle on the top is top , we can say that it is surmounted.