Question

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

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

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