Medicine capsule is in shape of a cylinder with two hemispheres stuck to each of its ends .length of capsule is 14mm and width is 6mm find surface area
Answers
Answer:
Step-by-step explanation:
Length of Capsule (l) = 14 mm
Diameter of Capsule = Diameter of Cylinder =5 mm
Radius =
2
Diameter
Therefore, Radius of each Hemisphere = Radius of Cylinder = r =
2
5
= 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+2πr
2
+2πr
2
=2πrl+4πr
2
=2×
7
22
×2.5×9+4×
7
22
×2.5
2
=
7
22
[45+25]=
7
22
×70=220 mm
2
hope it helps