Question

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. If the

length of the cylindrical part of the capsule is 14mm and the diameter of hemisphere is 6mm, then find

the volume of the medicine capsule.​

Answer 1

Step-by-step explanation:

Total area of a cylinder = CSA of a cylinder+ CSA of 2 hemisphere

diameter of a cylinder = 5mm

therefore radius =5\2 (diameter\2= radius)

height of cylinder+2*radius of cylinder= 14mm

height of cylinder= 14-2*radius

14-2*5\2 ( the 2 and 2 cancel each other)

14-5

9mm

CSA OF A CYLINDER =2*pie*radius*height

2*22/7*5\2*9

22*45/7

990/7 mm²

CSA OF HEMISPHERE 2* pie*radius²

2*22/7*5/2*5/2

11/7*25

275/7mm²

CSA OF 2HEMISPHERE = 2* AREA OF HEMISPHERE

2* 275/7

550/7mm²