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. Find its surface area.​

Answer 1

Width of capsule =5mm

radius of hemisphere =2.5mm

c.s.a of hemisphere=2πr square

=275mm square × 2

=550mm square

height of cylinder=14-radis of 2 hemisphere

=9mm

c.s.a of cylinder =2πrh

=131.2mm square

surface area of capsule =c.s.a of 2 hemisphere

+ c.s.a of cylinder

= 682.2mm square

[pie value=22/7]

the surface area of tablet is 682.2mm square

Answer 2

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Two hemisphere and one cylinder are shown in the figure given below.

Here, the diameter of the capsule = 5 mm

∴ Radius = 5/2 = 2.5 mm

Now, the length of the capsule = 14 mm

So, the length of the cylinder = 14-(2.5+2.5) = 9 mm

∴ The surface area of a hemisphere = 2πr2 = 2×(22/7)×2.5×2.5

= 275/7 mm2

Now, the surface area of the cylinder = 2πrh

= 2×(22/7)×2.5×9

(22/7)×45 = 990/7 mm2

Thus, the required surface area of medicine capsule will be

= 2×surface area of hemisphere + surface area of the cylinder

= (2×275/7) × 990/7

(550/7) + (990/7) = 1540/7 = 220 mm2