Question

A medicine capsule is in the form of a cylinder with hemispherical end.The total height of the capsule is 19cm and the diameter of the cylinder is 7cm.Find the volume of the capsule

Answer 1

radius of cylinder = 7/2 cm......= 3.5 cm
height of cylinder = total height of capsule - 2× radius of hemispherical ends
= 19-7 = 12 cm.....
volume of capsule = volume of cylindrical portion + 2 × volume of hemispherical ends



=πr^2h+2×2/3πr^3
=22/7×3.5×3.5×12 + 2×2/3×22/7×3.3×3.5×3.5

= 462 + 539
1001 cm ^3 ...... .
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Answer 2

Given:-

• The total height of the capsule is 19cm
• The diameter of the cylinder is 7cm.

To find:-

• Find the volume of the capsule..?

Solutions:-

• Diameter of the cylinder = 7cm
• Radius of the cylinder = 7/2cm
• Total height of capsule = 19cm

Height of the cylinder = Total height - Radius of one hemisphere + another hemisphere

=> (19 - 3.5 + 3.5)

=> 19 - 7

=> 12cm

• Volume of the cylinder = πr²h
• Volume of the hemisphere = 4/3 πr³

=> πr²h + 4/3 πr³ + 4/3 πr³

=> πr²(h + 4/3 r)

=> π × (7/2)² × (12 + 4/3 × 7/2)

=> π × 49/4 × (12 + 28/6)

=> π × 49/4 × (72 + 28/6)

=> π × 49/4 × 100/6

=> π × 4900/24

=> 204.17π cm³

Hence, the volume of the capsule is 204.17π cm³.