1.

Find the volume of the largest right circular cone that can be cut out of cube having 5 cm as its length of the side.(a) 32.72 cm^3(b) 15 cm^3(c) 25.4 cm^3(d) 37.2 cm^3I had been asked this question during an interview for a job.Asked question is from Surface Area and Volume of Combination of Solids in division Surface Area and Volumes of Mathematics – Class 10

Answer»

The correct option is (a) 32.72 cm^3

The best I can explain: Length of the side of the CUBE = height of the CONE = 5 cm

The RADIUS of the BASE of the cone = \(\frac {5}{2}\) cm = 2.5 cm

The volume of the cone = \(\frac {1}{3}\)πr^2h

= \(\frac {1}{3}\) × 3.14 × 2.5^2 × 5

= 32.72 cm^3



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