The volume with a base radius 2x cm and height 5x cm is equal to the total surface area of a cylinder with radius 3x cm and height h cm. find an expression for h in terms of x.
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according to the question
volume of cylinder = total surface area
pie r^2h = pie r (r+ h )
r^2 h = r (r+h)
2x^2 ×5x = 3x (3x + h )
4x^2 ×5x = 9x^2 +3xh
20 x^3 =9x^2 + 3xh
20x^3 -9x^2 / 3x = h
20 x^2 - 9x^2 /3 = h
11x^2 / 3 = h
volume of cylinder = total surface area
pie r^2h = pie r (r+ h )
r^2 h = r (r+h)
2x^2 ×5x = 3x (3x + h )
4x^2 ×5x = 9x^2 +3xh
20 x^3 =9x^2 + 3xh
20x^3 -9x^2 / 3x = h
20 x^2 - 9x^2 /3 = h
11x^2 / 3 = h
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