A medicine capsule is in the shape of cylinder with two hemisphere stuck to each of it's end the length of the capsule is 14mm and the width is 5mm Find the surface area
Answers
Step-by-step explanation:
Maths
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends .The length of the entire capsule is 14\ mm14 mm and the diameter of the capsule is 5\ mm5 mm. Find its surface area. (Use \pi = \dfrac{22}{7}π=
7
22
).
question
Asked on October 15, 2019 byavatar
Equna Waghwani
ANSWER
Given:
Length of Capsule (l) = 1414 mm
Diameter of Capsule = Diameter of Cylinder = 5=5 mm
Radius = \dfrac{Diameter}{2}
2
Diameter
Therefore, Radius of each Hemisphere = Radius of Cylinder = r = \dfrac{5}{2}
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=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=2πrl+2πr
2
+2πr
2
=2\pi r l + 4 \pi r^2=2πrl+4πr
2
= 2\times \dfrac{22}{7}\times 2.5\times 9 + 4\times \dfrac{22}{7}\times 2.5^2=2×
7
22
×2.5×9+4×
7
22
×2.5
2
=\dfrac{22}{7}[45 +25] = \dfrac{22}{7}\times 70 = 220 =
7
22
[45+25]=
7
22
×70=220 mm^2
Answer:
220mm^2
Step-by-step explanation:
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