Volume and Surface Area MCQs

Prepare for Volume and Surface Area MCQs with verified questions, past-paper solutions, and conceptual explanations for CSS, PMS, FPSC, PPSC, and NTS examinations.

260 Solved Questions • 195 Mins Practice • Updated for 2026 Competitive Exams
MCQS
2026 Solved Edition · Updated October 2026 · Verified Editorial Standards

Welcome to the verified preparation module for Volume and Surface Area MCQs on McqsMind. This comprehensive set offers solved multiple-choice questions with answers, detailed explanations, and authentic past-paper style questions aligned with the latest syllabus of Geometry (Mathematics-General Ability).

100% Verified Answer Keys CSS, PMS, FPSC, PPSC, NTS Ready 2026/2027 Syllabus Guidelines

Direct Definition & Conceptual Scope

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Volume and Surface Area constitutes an essential examination topic within Mathematics-General Ability, evaluating theoretical principles, historical context, and practical problem-solving applications. On MCQsMind, candidates practice verified past-paper solutions, conceptual breakdowns, and syllabus-aligned questions tailored for CSS, PMS, and competitive screening examinations.

Solved Questions

Practice with answers, explanations, and exam-focused revision notes.

260 MCQs Page 9

High-Yield Exam Revision Cheat Sheet & Mnemonics

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81
Find the ratio of the volume of a cube to the volume of the largest sphere that can fit perfectly inside it.
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82
If the diameter of a sphere is decreased by 25%, by what percent does its curved surface area decrease?
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83
Water flows into a tank measuring 200 m by 150 m through a rectangular pipe 1.5 m by 1.2 m at the rate of 20 km/hr. In what time will the water level rise by 2 meters?
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84
A hemispherical bowl has an internal radius of 9 cm. It is completely filled with liquid. The liquid is to be poured into cylindrical bottles, each of radius 1.5 cm and height 4 cm. How many bottles are required?
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85
A metallic sphere of radius 10.5 cm is melted and recast into small right circular cones, each of base radius 3.5 cm and height 3 cm. The number of cones formed is:
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86
The total surface area of a hemisphere is 27π cm². What is the volume of this hemisphere?
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87
If the curved surface area of a cylinder is equal to its volume (numerically), then its radius must be:
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88
A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm³, then the weight of the pipe is:
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89
A road roller is a cylinder 2 m long and has a diameter of 1.4 m. It takes 500 complete revolutions to level a playground. Find the area of the playground.
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90
A sphere is inscribed in a cube of side 6 cm. What is the volume of the sphere? (Use π = 3.14)
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Pedagogical Syllabus Blueprint

Volume and Surface Area MCQs: Preparation Strategy & Exam Blueprint

Examination Weightage & Commission Distribution

In Pakistan's premier competitive examinations—including the Federal Public Service Commission (FPSC General Recruitment & CSS MPT), Punjab Public Service Commission (PPSC Lecturer, Tehsildar & PMS Screening), KPPSC, SPSC, and BPSC—questions derived from Volume and Surface Area MCQs consistently constitute a decisive 10% to 25% weightage of the Geometry paper. Testing agencies frequently evaluate both foundational factual recall and deeper analytical comprehension, requiring aspirants to master key dates, statutory articles, constitutional clauses, and thematic definitions.

High-Yield Conceptual Pillars & Distractor Analysis

Historical trend analysis across past five-year examination cycles demonstrates that examiner traps frequently involve closely matched numerical alternatives, chronologically contiguous treaties, and semantic subtleties in statutory phraseology. When preparing Volume and Surface Area MCQs, candidates must deliberately review the underlying rationale provided for every question rather than merely memorizing raw answer options. Understanding why incorrect distractors fail is the most reliable predictor of achieving top percentiles in computerized and optical mark recognition (OMR) screening tests.

Negative Marking Mitigation & Time Management Protocol

For examinations enforcing negative marking penalties (such as PPSC's 0.25-mark deduction per erroneous response or NTS gatekeeper quotas), an aggressive elimination technique must be deployed. Candidates should systematically rule out improbable options first to elevate probability thresholds from 25% to 50% or 100%. Allocating an average of 45 to 60 seconds per item during mock trials builds the psychological stamina and cognitive precision required to complete 100-question papers within official 90-minute time limits.

Recommended Reference Sources & Statutory Reading

To achieve definitive conceptual mastery in Mathematics-General Ability, candidates are advised to cross-reference our solved explanations with primary gazettes, statutory texts, and canonical academic textbooks. Verifying controversial questions against authentic official repositories guarantees that prospective civil servants and professional candidates present incontestable answers during both optical paper evaluations and viva voce departmental interviews.