SSC CGL 2024 Tier-I · 12 September 2024, Shift 1 · Quantitative Aptitude · Question 14 of 99

Text as printed on a candidate's response sheet for this shift; answer per SSC's tentative key as marked on that sheet. Solution last reviewed 6 September 2026.

Where this paper and its answers come from

SSC does not publish CGL question papers or a public answer key. The questions and options here are reproduced as printed on a candidate's own response sheet for this shift — the Commission's text, unchanged. Each answer is SSC's tentative key as marked on that sheet; SSC allowed challenges to it and never publishes a final key. The solutions are written by UnlockIAS.

The height of a cylinder is 20 cm. The lateral surface area is 1760 cm 2 . Its volume is:

Answer

Why

Correct — C. The lateral surface area hands you the radius; the radius then gives the volume.

Lateral surface area = 2πrh
1760 = 2 × (22⁄7) × r × 20
1760 = (880⁄7)r
r = 1760 × 7 ÷ 880 = 14 cm

Volume = πr²h
= (22⁄7) × 14² × 20
= (22⁄7) × 196 × 20
= 22 × 28 × 20 = 12320 cm³

The options are printed as pictures; the one reading 12320 cm³ is option (c).

Why the others are wrong

(a)
12032 is the same five digits in a different order. The volume is 22 × 28 × 20, a multiple of 20, so it has to end in 0 — 12032 ends in 2.
(b)
12302 shuffles the same five digits. Reaching it would need a radius just under 14, but 1760 = (880⁄7)r gives r = 14 exactly.
(d)
12203 is another shuffle of 1, 2, 2, 3 and 0. Same check as the others: a product ending in × 20 cannot end in 3.

Concept

Three cylinder formulas do all the work here, and only one of them is given a name in the stem.

Lateral (curved) surface area = 2πrh — the rolled rectangle, ends excluded. Total surface area = 2πr(r + h) adds the two circular ends. Volume = πr²h.

The question is a two-step chain: an area formula recovers the missing dimension, and a volume formula consumes it.

Take π as 22⁄7 whenever the given numbers carry a factor of 7 or 11, as 1760 does.

The four options are printed as images in this paper, so a text-only view of the row shows the stem but no option text. They read 12032, 12302, 12320 and 12203 cm³ — the same digits rearranged, which means a digit-order slip costs the mark.

Key facts

Lateral (curved) surface area of a cylinder = 2πrh, with the two circular ends excluded.
Total surface area of a cylinder = 2πr(r + h).
Volume of a cylinder = πr²h.
With π = 22⁄7, a lateral surface area of 1760 cm² and a height of 20 cm give r = 14 cm.

Study next

Total surface area versus curved surface area of a cylinderA cylinder formed by rolling a rectangle, where one side becomes the circumferenceHow volume changes when radius and height are scaled

Common traps

Using 2πr(r + h) when the stem says lateral or curved surface area.
Taking π as 3.14 — these numbers are built for 22⁄7 and give the clean r = 14.
Finding r = 14 and then answering with the base area or the height rather than the volume.

SSC gives one cylinder measurement and asks for a different one, so recovering the missing dimension is the step you are being timed on.

Also asked 13 Sep 2024, 16:00, Quant Q.2 (curved surface area 880 cm², find the product of height and radius) and 19 Sep 2024, 12:30, Quant Q.13 (base radius 10.5 cm, curved surface 792 cm², find the volume).

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