Two cylindrical jars contain the same amount of milk If their diameters are in the ratio 3 4 find th...

Question

Two cylindrical jars contain the same amount of milk If their diameters are in the ratio 3 4 find the ratio of their heights

Accepted Answer

Solution The density of a cylinder is determined by its volume which represents how much material may be immersed in it or carried inside of it Let rsub1sub and rsub2sub be the radius of the two cylinders and hsub1sub and hsub2sub be their heights Given ratio of the diameter 34 Then the ratio of radius rsub1subrsub2sub 34 Given volume of both jars are same rsub1subsup2suphsub1sub rsub2subsup2suphsub2sub hsub1subhsub2sub rsub2subsup2sup rsub1subsup2sup hsub1subhsub2sub 4sup2sup3sup2sup 169 Hence the ratio of the heights are 169

ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.1 in Chapter 17 - Mensuration