a medicine capsule is in a shape of a cylinder with two hemispheres stuck to each of its ends .the length of entire capsule is 14mm and diameter of capsule is 5mm find its surface area
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Given:-
A medicine capsule is in a shape of a cylinder with two hemispheres stuck to each of its ends.
- Length of capsule = 14mm
- Diameter of capsule = 5mm
- Radius of capsule = 5/2 mm
To find:-
- Find the surface area of capsule..?
Solutions:-
- Height of capsule
Length of cylinder (h) = Length of the entrive capsule - 2 × r
=> 14 - 5 = 9 mm
Surface area of capsule = 2 × CSA of hemispherical part + CSA of cylindrical part.
=> 2 × 2πr² + 2πrh
=> 4π (5/2)² + 2π (5/2)(9)
=> 4π × 25/4 + 2π × 5/2 × 9
=> 25π + 45π
=> 70π
=> 70 × 22/7
=> 10 × 22
=> 220mm²
Hence, the surface area of capsule is 220mm²
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