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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? - Mathematics

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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 "pi=22/7]`

 

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Solution

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

`"Volume of 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.

Concept: Volume of a Sphere
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APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.8 | Q 10 | Page 236

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