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 d

Question

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​

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Hadley 2 weeks 2021-09-07T07:39:36+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-07T07:41:14+00:00

    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 =2\pir/2=\pir

    THEREFORE PERIMETER OF 2 SEMI-CIRCLES=2*\pir

    =2\pir

    =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

    HOPE IT HELPS YOU MATE!

    PLZ MARK ME AS BRAINLIEST AS IT TOOK ME A LOT OF TIME AS WELL AS EFFORT TO GIVE YOUR ANSWER.

    HOPW YOU UNDERSTAND MATE.

    0
    2021-09-07T07:41:23+00:00

    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:

    please mark me as brainlist and give thanks

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