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SSC CHSL 2025 PYQ — Question 58

SSC CHSL - 29 Nov 2025 - Shift 3 • Quantitative Aptitude • Q58

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The radius and the height of a cylinder are in the ratio 3:4 respectively. If the volume of the cylinder is _______ cm³, then the curved surface area of the cylinder is _______ cm² less than the total surface area of the cylinder. (Take π = 3)
The values given in which of the following options will fill the blanks in the same order in which is it given to make the above statement true:

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Correct answer: B

Explanation

 Given:

Radius : Height = 3 : 4

π = 3

According to the formulas:

r:h=3:4r=3x,h=4xV=πr2h=3×(3x)2×4x=108x3108x3=864x3=8x=2r=6,h=8TSA−CSA=2πr2=2×3×62=216∴ 864,  216 r:h=3:4 \\ r=3x,\qquad h=4x \\ V=\pi r^2h \\ =3\times(3x)^2\times4x \\ =108x^3 \\ 108x^3=864 \\ x^3=8 \\ x=2 \\ r=6,\qquad h=8 \\ TSA-CSA=2\pi r^2 \\ =2\times3\times6^2 \\ =216 \\ \therefore\ \boxed{864,\;216} \\