Question

The csa of cylinder is 1760cm^2. Its volume is 12320cm^3. Find its height

Answer 1

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CSA of cyclinder = 2$\pi$rh  = 1760 cm²
                            = 2*22/7*rh = 1760
                            = rh = 1760*7/22*2
                            = r = 280/h                        --------------(i)
volume of cyclinder = $\pi$r²h = 12320 cm³
                                = 22/7*r²h = 12320
                                = r²h = 12320*7/22
                                = r² = 560/h
                                = r = √560/h          -------------(ii)
comparing both equation
     √560/h = 280/h
       560/h = (280/h)²
       560/h = 78400/h²
           h = 78400/560
              = 14 cm