A medicine capsule is in the shape of a cylinder with two hemispheres stock to each of its ends, if The length of
Cylinder part is 14mm and the diameter of hemisphere is 6mm,
then find the diameter of
hemisphere volume of medicine capsule.
Answers
Step-by-step explanation:
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MATHS
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. If the length of the cylindrical part of the capsule is 14mm and the diatmeter of hemisphere is 6mm, then find the volume of medicine capsule.
October 15, 2019avatar
Rajavi Mazumder
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VIDEO EXPLANATION
ANSWER
Given that:
Height of the cylindrical part of the capsule=14mm
Diameter of hemispherical part of the capsule=6mm
To find:
Volume of the medicine capsule=?
Solution:
Radius of hemispherical part of the capsule=3mm
Volume of the medicine capsule= Volume of cylindrical part of the capsule+ 2× Volume of hemispherical part of the capsule
=πr ^2h+2× 3/2πr ^3
= 7\22 ×(3mm) ^2×14mm+2× 3\2× 7/22×(3mm) 3
Take (π= 7/22 )
=396mm ^3+113.143mm ^3
=509.143mm ^3
Therefore, Volume of the medicine capsule=509.143mm ^3