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The respective ratio between numerical values of curved surface area and volume of right circular cylinder is 1 : 7. If the respective ratio between the diameter and height of the cylinder is 7 : 5, what is the total surface area of the cylinder ? [in \( \large m^{2} \)]

A) 2992
B) 3172
C) 2882
D) 3576
E) 3992

Correct Answer:

A) 2992

Description for Correct answer:
According to question,

\( \Large \frac{2 \pi rh}{ \pi r^{2}h} \) = \( \Large \frac{1}{7} \)

\( \Large \frac{2}{r} \) = \( \Large \frac{1}{7} \)

r = 14 m

\( \Large \frac{2r}{h} \) = \( \Large \frac{7}{5} \) => \( \Large \frac{2 x 14}{h} \) = \( \Large \frac{7}{5} \)

h = 20 m

Total surface area of cyclinder = 2\( \large \pi \)r( r + h)

= 2 x \( \Large \frac{22}{7} \) x 14 ( 14 + 20)

= 22 x 4 x 34 = 2992 \( \large m^{2} \)

Part of solved SBI PO-Prelims2 questions and answers : Exams >> Bank Exams >> SBI PO-Prelims2

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