Math, asked by tapankumardas270, 2 months ago

The inner and outer circumference of a circular track are 462m and 484m respectively calculate the width of the track.​

Answers

Answered by ajay8949
12

 \huge\sf\bold{ \:\:\:\pink{A} \green{N} \red{S} \blue{W} \purple{E} \orange{R}}

  \:  \:  \:  \: \sf{ curved \: surface \: area \:  = 1760 {cm}^{3} }

 \:  \:  \:  \:  \:  \:  \:  \:  \sf{radius \: of \: cylinder \:  = 14 \: cm}

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \sf{height \: of \: cylinder \:  =  \:  ?}

  \:  \:  \:  \:  \: \:  \:  \:  \:  \:    \pink{\boxed {   \sf{csa \: of \: cylinder \:  = 2\pi rh}}}

  \:  \:  \: : ⟹  \:  \:  \:  \:  \: \sf {\: 2\pi rh = 1760}

  \:  \:  \:  \:  \:  \:  \: : ⟹ \sf{2 \times  \frac{22}{7}  \times 14 \times h = 1760}

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: : ⟹  \:  \: \sf{h =  \frac{1760 \times 7 }{2 \times 22 \times 14} }

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \: \: : ⟹ \sf{ h = 20 \: cm}

 \sf{outer \: circumference \:  = 484 \: m}

  \boxed{\red{ \sf{circumference \: of \: circle = 2\pi r}}}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \sf{2\pi r = 484}

 \:  \:  \:  \:  \:  \:  \:  \:  \sf {2 \times  \frac{22}{7}  \times r = 484 }\\

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \sf{44r = 484 \times 7}

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \sf{r =  \frac{484 \times 7}{44} } \\

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \: \sf{r = 77 \: m}

 \sf{inner \: circumference = 462 \: m}

{ \pink{ \boxed{ \sf{circumference \: of \: circle = 2\pi r}}}}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \: \sf{2\pi r = 462}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \sf{2 \times  \frac{22}{7}  \times r = 462} \\

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \sf{r =  \frac{462 \times 7}{44}}  \\

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \sf{r = 73.5}

 \sf{width = outer \: radius - inner \: radius}

  \: : ⟹ \: \:  \:  \:  77 - 73.5

  \:  \:  \:  \:  \:  \: : ⟹  \:  \:  \: 3.5

 \sf\orange{please \: mark \: as \: brainliest............}

Answered by RealSweetie
2

Step-by-step explanation:

484-462=22m

hope it'll help you make it brainliest answer please and follow me

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