Correct Answer - Option 4 : 1386 cm
3
Given:
Length of rectangular = Width + 14 cm = (b + 14) cm
Width of rectangular sheet = b
Formula used:
Perimeter of rectangle = 2(l + b)
Perimeter of circle = 2πr
Volume of cylinder = πr2h
Calculation:
According to question –
⇒ 2(b + b + 14) = 116
⇒ 2b + 14 = 58
⇒ 2b = 44
⇒ b = 22 cm
So, l = (22+ 14) cm = 36 cm, and b = 22 cm
Height of cylinder = length of sheet = L = 36 cm
Circumference of top = 2πr = Breadth of sheet = 22 cm
⇒ r = 22/2π = 22 × 7/44
⇒ 7/2
The volume of cylinder = πr2h
⇒ π(7/2)2× 36
⇒ (22 × 49/28) × 36
⇒ 22 × 7 × 9
⇒ 1386 cm3
∴ the volume of cylinder 1386 cm3