Question

A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres

stuck to each of its ends. The length of entire capsule is 2 cm. The capacity of the capsule is

(a) 0.36 cm3 (b) 0.35 cm3 (c) 0.34 cm3 (d) 0.33 cm3​

Answer 1

Answer:

Step-by-step explanation:

Capacity of the medicine = Volume of both the hemispherical parts + Volume of cylindrical part

Volume of a hemisphere of radius 'r' =  

3

2

​  

πr  

3

 

Volume of a cylindrical =πr  

2

h  where r is

the radius of the base of the cylinder and h is the height.

The hemisphere and the cylinder will have the same radius r =0.25cm

Since total length of the toy is 2 cm, the length of the conical part

will be 2−0.25−0.25=1.5cm

Hence, Volume of the medicine =2×(  

3

2

​  

×  

7

22

​  

×0.25  

3

)+(  

7

22

​  

×0.25  

2

×1.5)=  

7

22

​  

×0.25  

2

(2×  

3

2

​  

×0.25+1.5)=0.36cm  

3