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Nikhil goel

· started a discussion

· 1 Months ago

Why multiply by 2 only pie r2 will be there

Question:

  A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. The surface area of the capsule is: 

Options:
A)

  420 mm2 

B)

  222 mm2 

C)

  220 mm2 

D)

  440 mm2 

Solution:

 Required surface area

  

2×2πr2+2πrh   

= 4 ×  227   × 2.5 × 2.5 + 2 ×  227   × 2.5 × 9

= 2 ×  227    × 2.5(5 + 9)

= 220 mm2.

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