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In the following question, two statements numbered I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.
Quantity I: Ratio of the curved surface area and the total surface area of a right circular cylinder is 2:5 and the area of base is 1386 cm2, then what is the volume (cm3) of the cylinder?
Quantity II: What is the surface area (cm2) of a cube having the side equal to the length of rectangular field having area 4205 cm2 and breadth of field being 25% more than its length?
  • a)
    Quantity I < quantity="" />
  • b)
    Quantity I > Quantity II
  • c)
    Quantity I ≥ Quantity II
  • d)
    Quantity I ≤ Quantity II
  • e)
    Quantity I = Quantity II or the relation cannot be determined
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In the following question, two statements numbered I and II are given...
Quantity I
Curved surface area = 2ϖRH
Total surface area = 2ϖR(R + H)
Thus,
2ϖRH/2ϖR(R + H) = ⅖
H/(R + H) = 2/5 ...... (i)
Area of the base = ϖR2 = 1386
R2 = (1386 x 7)/22 = 441
Radius = 21 cm
Putting value of R in (i) we get
H/(21 + H) = 2/5
5H = 42 + 2H
H = 14 cm
Thus, volume = ϖR2H = (22/7 x 21 x 21 x 14)
Volume = 19404 cm3.
Quantity II:
Let the length be Y centimeter
Then, breadth = 1.25Y
Area = (L x B) = 4205
Putting value of L and B we get:
(Y x 1.25Y) = 4205
Y2 = 3364
Y = 58
Thus, length = 58 cm
Side of the cube = 58 cm
Surface area of the cube = 6Side2
Surface area = (6 x 58 x 58) = 20184 cm2.
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In the following question, two statements numbered I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.Quantity I: Ratio of the curved surface area and the total surface area of a right circular cylinder is 2:5 and the area of base is 1386 cm2, then what is the volume (cm3) of the cylinder?Quantity II: What is the surface area (cm2) of a cube having the side equal to the length of rectangular field having area 4205 cm2 and breadth of field being 25% more than its length?a) Quantity I b) Quantity I > Quantity IIc) Quantity I ≥ Quantity IId) Quantity I ≤ Quantity IIe) Quantity I = Quantity II or the relation cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
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