A capsule is in the shape of a cylinder with two hemisphere stuck to each of its ends. If the length of the entire capsule is 12 mm and the diameter of the capsule is 5 mm, how much medicine it can hold?
Answers
Answer:
the question has been solved step by step below
Step-by-step explanation:
Width of capsule =5mm
radius of hemisphere =2.5mm
c.s.a of hemisphere=2πr square
=275mm square × 2
=550mm square
height of cylinder=14-radis of 2 hemisphere
=9mm
c.s.a of cylinder =2πrh
=131.2mm square
surface area of capsule =c.s.a of 2 hemisphere
+ c.s.a of cylinder
= 682.2mm square
[pie value=22/7]
the surface area of tablet is 682.2mm square
pls mark as brainlist answer
Given:
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
10th
Maths
Surface Areas and Volumes
Surface Area of Combined Solids
A medicine capsule is in th...
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 mm and the diameter of the capsule is 5 mm. Find its surface area. (Use π=
7
22
).
question
October 15, 2019
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Equna Waghwani
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VIDEO EXPLANATION
ANSWER
Given:
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