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. (Use π=227).
Given:
Length of Capsule (l) = 14 mm
Diameter of Capsule = Diameter of Cylinder =5 mm
Radius = Diameter2
Therefore, Radius of each Hemisphere = Radius of Cylinder = r = 52 = 2.5 mm
Length of Cylinder = AB = Total length of Capsule - Radius of left Hemisphere - Radius of Right Hemisphere
=14−2.5−2.5=9 mm
Surface Area of Capsule = Curved Surface Area of Cylinder + Surface Area of Left Hemisphere + Surface Area of Right Hemisphere
=2πrl+2πr2+2πr2
=2πrl+4πr2
=2×227×2.5×9+4×227×2.52
=227[45+25]=227×70=220 mm2