Math, asked by kinglion42, 1 year ago

the volume of a right circular cylinder of base radius 10 m is 8800 m cube . find the height of the cylinder ....plzz someone solve it i need...​

Answers

Answered by Anonymous
53

Given:-

  • Radius of cylinder = 10 m
  • Volume of cylinder = 88000 m³

Find:-

Height of the cylinder.

Solution:-

Let height of cylinder be "x" m.

We know that..

Volume of cylinder = πr²h

We have -

  • r = 10 m
  • Volume of cylinder = 8800 m³

Substitute the known values in above formula

=> \sf{8800\:=\:\frac{22}{7}\:\times\:(10)^2\:\times\:x}

=> \sf{8800\:=\:\frac{22}{7}\:\times\:100\:\times\:x}

=> \sf{8800\:=\:\frac{2200}{7}\:\times\:x}

=> \sf{\frac{8800\:\times\:7}{2200}\:=\:x}

=> \sf{\frac{88\:\times\:7}{22}\:=\:x}

=> \sf{4\:\times\:7\:=\:x}

=> \sf{x\:=\:28}

In starting, we assume that height of cylinder is "x" m. And from above calculations x = 28

•°• Height of cylinder is 28 m.

Answered by Sanskriti141
25

Step-by-step explanation:

Given that :

Volume of cylinder = 8800 m³

Radius of cylinder = 10 m

Therefore,

Height = ?

Volume = πr²h

=> 8800 = 22/7 × 10 × 10 × h

=> 88 × 7/22 = h

=> h = 28 m

ANS ) The height of the cylinder is 28 m

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