SSC CGL 2024 Tier-I · 17 September 2024, Shift 1 · Quantitative Aptitude · Question 7 of 98

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 circumference of the base of a cylindrical vessel is 44 cm and its height is 25 cm. How many liters of water can it hold? (Take π = 22⁄7)

(a)3.85
(b)83.5
(c)3.58
(d)38.5

Answer

Why

Correct — A. The circumference gives the radius, the radius gives the volume, and the volume still has to be converted.

2πr = 44
r = 44 × 7 ⁄ (2 × 22) = 7 cm

Volume = πr²h = (22⁄7) × 7² × 25
= 22 × 7 × 25 = 3850 cm³

1 litre = 1000 cm³
3850 ⁄ 1000 = 3.85 litres → option (a)

Why the others are wrong

(b)
83.5 — 83.5 litres is 83,500 cm³, more than twenty times what a 7 cm by 25 cm cylinder holds. It shares its digits with 3.85, so the decimal point is doing all the damage.
(c)
3.58 — 3.58 is 3.85 with the last two digits transposed. The volume is exactly 3850 cm³, so the litre figure ends in 5.
(d)
38.5 — 38.5 litres is 38,500 cm³ — the number you get by dividing cubic centimetres by 100 instead of 1000. There are a thousand cubic centimetres in a litre.

Concept

A cylinder is fixed by two numbers, r and h, and the paper rarely hands you r directly. Here it arrives through the base circumference: 2πr = 44, and with π = 22⁄7 the 7 and the 44 cancel to give r = 7 cm.

After that, volume = πr²h — the base area πr² multiplied by the height. With r = 7 the π cancels again: (22⁄7) × 49 = 22 × 7 = 154 cm² of base, times 25 cm of height.

The last step is a unit, not a formula. Capacity questions want litres, and 1 litre = 1000 cm³.

π = 22⁄7 is stated in the question, and it earns its place: 44 × 7 ⁄ 44 leaves r = 7 exactly, so the 7 in the denominator cancels again at the volume step.

If your radius comes out as an awkward decimal here, re-read the given 44 cm before redoing the arithmetic — it is the circumference, not the diameter.

Key facts

Circumference of a circle = 2πr, so 44 cm with π = 22/7 gives r = 7 cm.
Volume of a cylinder = πr²h, and its curved surface area = 2πrh.
1 litre = 1000 cm³, and 1 m³ = 1000 litres.

Study next

Curved surface area 2πrh and total surface area 2πr(r + h)Finding the radius from a given curved surface area and heightComparing two cylinders when radii and heights are given as ratios

Common traps

Reading 44 cm as the diameter or the radius rather than the circumference
Leaving the answer at 3850 cm³ and matching it to 38.5 by eye
Dividing cubic centimetres by 100 to reach litres

The radius is often hidden behind another measurement. A lateral surface area of 1760 cm² with height 20 cm is given at 12 Sep 2024, 09:00, Quant Q.14, and a curved surface area of 880 cm² at 13 Sep 2024, 16:00, Quant Q.2.

What is extra here is the conversion: the answer is wanted in litres, so the cm³ figure is not the end of the work.

Related PYQs

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