RRB Assistant Loco Pilot and Technician Model Paper 6 with solutions

Question : 14 of 75

Marks: +1, -0

The outer diameter of a spherical shell is 10 cm and the inner diameter is 8 cm. The volume of the metal contained in the shell is
(Use π =

22/7

Solution:

The volume of the metal contained in the shell
=

4/3π(R )^3 - r^3

Here R = 5, r = 4
∴ V =

{ 4 }/ { 3 } \π [ ( 5 ) ^ { 3 } - ( 4 ) ^ { 3 } ]

{ 4 }/ { 3 } × { 22 }/ { 7 } [ 125 - 64 ]

{ 4 }/ { 3 } ×{ 22 } /{ 7 } × 61

= 255.619 ≈ 255.62

cm^3

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