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The Largest Possible Sphere is Carved Out of a Wooden Solid Cube of Side 7 Em. Find The Volume of the Wood Left - Mathematics

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Answer in Brief

The largest possible sphere is carved out of a wooden solid cube of side 7 em. Find the volume of the wood left. (Use\[\pi = \frac{22}{7}\]).

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Solution

Diameter of sphere curved out = side of cube = 7cm or Radius =3.5cm
Volume of cube = a3

                       =73

                       =343 cm3

Volume of sphere`=4/3pir^3`

`= 4/3 xx 22/7 xx 7/2 xx 7/2 xx 7/2 = 179.66 cm^3`

volume of the wood left=Volume of cube-volume of sphere

=343-179.66

=163.34 cm3

Concept: Surface Area of a Combination of Solids
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Exercise 14.2 | Q 29 | Page 62
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