Question

a capsule is in the form of Hallow cylinder surmounted by hemisphere of. diameter 12 cm on both ends . The total height of capsule is 16 cm.​

Answer 1

Height of capsule

= Height of cylinder + 2×radius of hemisphere

Height of cylinder

= Height of capsule - 2×radius of hemisphere

= 16 - 12 = 4cm

Therefore the total volume of the capsule

= volume of cylinder + 2×volume of hemisphere

Volume of cylinder = πr²h = 3.14 × 6² × 4 = 452.16cm³

2×Volume of hemisphere = 2 × ⅔πr³ = 4/3πr³

= 4/3 × 3.14 × 6³

= 904.32cm³

Therefore the total volume of the capsule

= volume of cylinder + 2×volume of hemisphere

= 452.16 + 904.32 = 1356.48cm³

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