Question 58

An edge of a cube measures 10 cm. If the largest possible cone is cut out of this cube, then the volume of the cone is

Solution

Edge of cube = 10 cm

Radius of the largest possible cone = 5 cm and height of cone = 10 cm

Volume of cone = $$\frac{1}{3}\pi r^2h$$

= $$\frac{1}{3}\times\frac{22}{7}\times(5)^2\times10$$

= $$\frac{25\times220}{21}=261.9$$ $$cm^3$$

=> Ans - (C)


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