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A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule? Assume [Assume π=227] - Mathematics

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Question

A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule?

`["Assume "pi=22/7]`

 

Sum
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Solution

Radius (r) of capsule = `(3.5/2)  mm` = 1.75 mm

Volume of the spherical capsule = `4/3pir^3`

= `[4/3xx22/7xx(1.75)^3]mm^3`

= 22.458 mm3

= 22.46 mm3      (approximately)

Therefore, the volume of the spherical capsule is 22.46 mm3.

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Chapter 13: Surface Area and Volumes - Exercise 13.8 [Page 236]

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NCERT Mathematics [English] Class 9
Chapter 13 Surface Area and Volumes
Exercise 13.8 | Q 10 | Page 236
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