Ashoka has 3 containers cylinder container A having radius r and height h. Cylindrical container B having radius 2r and height half of h. Cuboidal container C having dimensions rrh. The arrangement of the container in the increasing order of their volume abc or bca or cba

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Solution

Dear student
$Container A : radius, r_{1} = r Height, h_{1} = h Volume of container A = {πr}_{1}^{2} h_{1} = {πr}^{2} h Container B : radius, r_{2} = 2 r Height, h_{2} = \frac{h}{2} Volume of container B = {πr}_{2}^{2} h_{2} = π {(2 r)}^{2} (\frac{h}{2}) = 2 {πr}^{2} h Container C : Length, l = r Breadth, b = r Height, h_{3} = h Volume of container C = {lbh}_{3} = r \times r \times h = r^{2} h So, r^{2} h < {πr}^{2} h < 2 {πr}^{2} h i . e ., Volume of container C < Volume of container A < Volume of container B$
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Ashoka has 3 containers cylinder container A having radius r and height h. Cylindrical container B having radius 2r and height half of h. Cuboidal container C having dimensions r*r*h. The arrangement of the container in the increasing order of their volume abc or bca or cba

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