The curved surface area and volume of a cylindrical object are 88 cm² and 132 cm³, respectively. The height (in cm) of the cylindrical object is:

Solution (By Examveda Team)

Curved area of cylinder = 88 cm²
2πrh = 88
2 × $$\frac{{22}}{7}$$ × r × h = 88
r × h = 14
Volume of cylinder = πr²h = 132 cm³
$$\frac{{22}}{7}$$ × r²h = 132
r²h = 42
r × rh = 42
r × 14 = 42
r = 3
r × h = 14
h $$ = \frac{{14}}{3} = 4\frac{2}{3}$$
Height $$ = 4\frac{2}{3}{\text{ cm}}$$