Question Bank - General Aptitude

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Consider a square sheet of side 1 unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolved about its short edge to form a solid cone. The volume of the resulting cone, in cubic units, is ________

A.
\(\frac{\pi}{3}\)
B.
\(\frac{2\pi}{3}\)
C.
\(\frac{3\pi}{3}\)
D.
3?

Solution:

Concept:The volume of the solid cone = \(\frac{1}{3}\pi R^2 H\)Calculation:Given:A square sheet of side 1 unit is cut along the diagonal. Now the triangle is revolved along its shortest length to form a solid cone where R = 1 unit, H = 1 unit.The required volume of the resulting cone is:\(Vol=\frac{1}{3}\pi R^2 H\)\(Vol=\frac{\pi}{3}\times 1^2\times 1=\frac{\pi}{3}\)Download Solution PDFShare on Whatsapp

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