Mensuration Practice Test 1

Question : 7 of 40

Marks: +1, -0

A cube is inscribed in a sphere with radius 3 cm. Find volume of the space inside the sphere but outside the cube. (Use π = 3.14 and

√3

=1.73)

Solution:

Volume of the cube =

(9)^3

= 729

cm^3

Diameter of the sphere = 9 cm
Volume of the sphere =

4/3 πr^2

4/3 × {22}/7 × (9/2)^3

= 381.85
Required volume = 729 - 381.85 = 347.15

cm^3

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