Answer:
Area of plane surface of cylinder = 2772 sq.cm.
Step-by-step explanation:
Let r be the radius and h be the height of the cylinder.
Curved Surface Area = 1848 sq.cm
2πrh = 1848
2×[tex]\frac{22}{7}[/tex]×rh = 1848
rh = 1848 × [tex]\frac{7}{22}[/tex] × [tex]\frac{1}{2}[/tex]
rh = 294
Sum of radius and height = 35
r + h = 35 --- (1)
Now,
r - h = [tex]\sqrt{(r+h)^{2}-4rh }[/tex]
= [tex]\sqrt{35^{2}-4(294) }[/tex]
= [tex]\sqrt{1225-1176}[/tex]
= [tex]\sqrt{49}[/tex]
= 7
r - h = 7 --- (2)
Adding (1) and (2),
2r = 42
r = 21 cm.
Area of the plane surface = 2 × π[tex]r^{2}[/tex]
= 2 × [tex]\frac{22}{7}[/tex] × 21 × 21
= 2772 sq.cm.
