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Volume and Surface Area MCQs for Competitive Exams

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Volume and Surface Area MCQs for Competitive Exams

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

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Topic Notes: Volume and Surface Area

These notes summarize the key preparation context before you attempt the MCQs. Review the topic focus, then practice the questions below with answers and explanations.

Quick Overview

Volume and Surface Area MCQs in Mathematics-General Ability are useful for candidates who need targeted practice for CSS, PMS, FPSC, PPSC, NTS, entry tests, and other competitive exams in Pakistan. This topic page is designed for quick revision, repeated practice, and exam-focused preparation.

Attempt the questions page by page, check the correct answers, read the explanations where available, and compare your weak areas with past papers and mock test performance. Consistent MCQ practice improves speed, confidence, and retention for objective exam sections.

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1
Find the volume of a cylinder with radius 9 cm and height 16 cm (use pi = 3.142).
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2
The area of the base of a right circular cone is 154 cm² and its height is 14 cm. Its curved surface area is:
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3
What is the volume of a tetrahedron with an edge length of 6 cm?
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4
If a right square pyramid has a base side of 10 cm and a volume of 400 cm³, what is its height?
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5
A hemispherical bowl has a diameter of 12 cm. It is full of liquid. The liquid is emptied into cylindrical bottles of radius 3 cm and height 4 cm. How many bottles are needed?
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6
What is the ratio of the volume of a cylinder to the volume of a sphere inscribed perfectly inside it?
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7
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is:
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8
If a sphere and a cube have equal surface areas, what is the ratio of the volume of the sphere to the volume of the cube?
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9
A right circular cylinder and a right circular cone have the same base radius and height. If the ratio of their curved surface areas is 8:5, find the ratio of the radius to the height.
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10
The diameter of a hollow cone is 14 cm and its height is 24 cm. Find its curved surface area.
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