The radius of the base and the height of a solid right circular cylinder are in the ratio 2 3 and it...........

Quantitative Aptitude (CDS) Mensuration 3D

The radius of the base and the height of a solid right circular cylinder are in the ratio 2 : 3 and its volume is 1617 cm3. What is the total surface area of the cylinder?

462 cm²

616 cm²

770 cm²

786 cm²

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Explanation:

Let radius and height of base of solid circular cylinder be r and h respectively.
Given,
r/h=2/3
=>r=2h/3 ..........………. (i)
Volume of cylinder = $\pi$ r²h

Total surface Area of cylinder = $\pi$ r²h+2 $\pi$ rh=2 $\pi$ r(r+h)
=2×22/7×7×(7+10.5)
=770 cm²