RRB Group D Model Paper 9 with solutions

Question : 81 of 100

Marks: +1, -0

A hollow sphere of internal and external diameters 6 cm and 10 cm, respectively, is melted into a right circular cone of diameter 8 cm. The height of the cone is

22.5 cm
23.5 cm
24.5 cm
25.5 cm

Validate

Solution:

(3) Let h be the height of the cone. Since, volume of hollow sphere will be equal to the volume of cone so,

4/3π(R^2-r^2)

1/3π×r^2×h

4/3π(5^2-3^2)

1/3π×4^2×h

⇒ h =

98/4

= 24.5 cm

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