Question

A medicine capsule is in the shape of cylinder with two hemispheres stuck to each of its ends. the length of the capsule is 14mm and the thickness is 5mm find it's surface area​

Answer 1

Given: 

Length of Capsule (l) = 14 mm

Diameter of Capsule = Diameter of Cylinder =5 mm

Radius = 2Diameter

Therefore, Radius of each Hemisphere = Radius of Cylinder = r = 25 = 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

                                     =2×722×2.5×9+4×722×2.52

                                     =722[45+25]=722×70=220 mm2