A medicine capsule is in the shape of cylinder with two hemispheres stuck to each of its
ends. The length of capsule is 21mm and the width is 7mm. Find the surface area.
Answers
Answer:
Step-by-step explanation:
Given:
Length of Capsule (l) = 14 mm
Diameter of Capsule = Diameter of Cylinder = 5 mm
Radius = {Diameter}/{2}
Therefore, Radius of each Hemisphere = Radius of Cylinder = r = {5}/{2} = 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
=2\pi r l + 2 \pi r^2 + 2 \pi r^2
=2\pi r l + 4 \pi r^2
= 2\times \dfrac{22}{7}\times 2.5\times 9 + 4\times \dfrac{22}{7}\times 2.5^2
$$=\dfrac{22}{7}[45 +25] = \dfrac{22}{7}\times 70 = 220mm^2
solution