SSC CGL 2024 Tier-I · 9 September 2024, Shift 2 · Quantitative Aptitude · Question 14 of 100

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 5 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.

What is the volume (in cm³) of a cylinder if the radius of the cylinder is 8 cm and the height is 14 cm? (Take π = 22⁄7)

(a)2816
(b)2686
(c)2784
(d)2456

Answer

Why

Correct — A. The stem is printed as an image: the volume of a cylinder with r = 8 cm, h = 14 cm, taking π = 22⁄7.

V = πr²h = (22⁄7) × 8² × 14
Square the radius: 8² = 64
Cancel the 7 into the height: 14 ÷ 7 = 2
V = 22 × 64 × 2 = 22 × 128 = 2816 cm³ → option (a).

Why the others are wrong

(b)
2686 — 2686 would need r²h ≈ 854.6, but the given dimensions fix r²h at 64 × 14 = 896. No reading of an 8 cm radius and a 14 cm height produces it.
(c)
2784 — 2784 is the near-miss, only 32 below the answer, so it survives a rough estimate. Multiply exactly instead: (22⁄7) × 64 × 14 = 22 × 128 = 2816.
(d)
2456 — 2456 falls short even of the rougher π ≈ 3.14 estimate, which gives about 2,813 cm³ for these dimensions. A value that far below 2,800 signals a slip in squaring the radius.

Concept

The volume of a right circular cylinder is the base area times the height: V = πr²h.

The examiner's π = 22⁄7 is a hint about the arithmetic — a radius or a height divisible by 7 is planted so the 7 cancels. Cancel first, multiply second, and the sum finishes in one line.

Keep the three cylinder formulas apart in memory, because SSC rotates them over the same numbers: volume πr²h, curved surface area 2πrh, total surface area 2πr(r + h).

Both dimensions are already in centimetres and the answer is asked in cm³, so no conversion is needed here — worth checking, since SSC sometimes mixes metres and centimetres in one stem.

Key facts

Volume of a right circular cylinder = πr²h.
With r = 8 cm, h = 14 cm and π = 22⁄7, the volume is 22 × 64 × 2 = 2816 cm³.
The same cylinder's curved surface area is 2πrh = 704 cm².

Study next

Curved and total surface area of a cylinder for the same r and hVolume of a cone and of a sphere: (1⁄3)πr²h and (4⁄3)πr³Ratio items where r or h is scaled and the change in volume is asked

Common traps

Doubling the radius instead of squaring it, using 16 in place of 64
Answering with a surface area when the question asks for volume
Multiplying 22 × 64 × 14 out first and dividing by 7 last — correct, but a needless place to slip

SSC picks radii and heights that make 22⁄7 cancel exactly, so an h of 14 or an r of 7 signals a one-line sum. Mensuration returns in this shift at Quant Q.19 (09 Sep 2024, 12:30), the area of a sector from its arc length.

Related PYQs

No directly related past PYQ was found.