The shape of a capsule is rectangular in the middle and semi circular at the ends. find the perimeter of capsule of its length is 30mm and diameter of semi -circular ends is 10mm
Answers
Answer:
Given:
Length of Capsule (l) = 14 mm
Diameter of Capsule = Diameter of Cylinder =5 mm
Radius = 2Diameter
Therefore, Radius of each Hemisphere = Radius of Cylinder = r = 25 = 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+2πr2+2πr2
=2πrl+4πr2
=2×722×2.5×9+4×722×2.52
=722[45+25]=722×70=220 mm2

Given:
Length of Capsule (l) = 14 mm
Diameter of Capsule = Diameter of Cylinder =5 mm
Radius = 2Diameter
Therefore, Radius of each Hemisphere = Radius of Cylinder = r = 25 = 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+2πr2+2πr2
=2πrl+4πr2
=2×722×2.5×9+4×722×2.52
=722[45+25]=722×70=220 mm2
Step-by-step explanation:
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Answer:
Step-by-step explanation:
lenghth of rectangle=30mm
breadth of rectangle=10mm
radius of semi circle=5mm
WKT,
the perimeter of rectangle =2(l+b)
BUT IN THIS QUESTION IF WE WILL TAKE THE BREADTH OF THE RECTANGLE WHILE FINDING THE PERIMETER OF THE RECTANGLE AS WELL AS WHILE FINDING THE PERIMETER OF THE SEMI-CIRCLE,THEN THE ANSWER WILL BE WRONG.THEREFORE WE WILL TAKE IT ONLY ONCE AND THAT TOO WHILE FINDING THE PERIMETER OF SEMI-CIRCLE.
=2*l
=2*30
=60mm
WKT,
THE PERIMETER OF 1 SEMI-CIRCLE =2r/2=r
THEREFORE PERIMETER OF 2 SEMI-CIRCLES=2*r
=2r
=2*22/7*5
=220/7
=31.42mm
THEREFORE THE PERIMETER OF THE WHOLE CAPSULE
=PERIMETER OF RECTANGLE+PERIMETER OF 2 SEMI-CIRLCES
=60mm+31.42mm
=91.42mm
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