The dimensions of the cylinder will be r = 8.92 cm and h = 17.86 cm.
What is dimensions ?
Dimensions refer to the length or width of an area, region, or space in one direction.
Main Body:
Volume of cylinder = πr²h
Surface area = 2πr² + 2πrh
Given surface area = 1500 cm²
1500 = 2πr²+2πrh
h= (750/πr)-r ----(1)
V= πr²{(750/πr)-h}
V =750r - πr³
V' = 750- 3πr²
Put V' =0
0 = 750 - 3πr²
r≈ 8.92 cm
substituting the value of r in equation (1)
we get h= 17.86 cm
Hence the dimension of cylinder are r = 8.92 cm and h = 17.86 cm
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