Surface Areas and Volumes Class 10 MCQ Online Test, Set 1 (with Solutions)

Surface Areas and Volumes: Practice Set 1

13 questions: MCQs, assertion–reason and a case study
Time: 15 minutes (submits by itself when time is up)
+1 for each correct answer, no negative marking
After submitting: score, correct answers and a full solution for every question

1CBSE 2023

What is the total surface area of a solid hemisphere of diameter '\(d\)'?

(a) \(3\pi d^2\)(b) \(2\pi d^2\)(c) \(\frac{1}{2}\pi d^2\)(d) \(\frac{3}{4}\pi d^2\)

The slant height of a cone of radius 6 cm and height 8 cm is

(a) 14 cm(b) 12 cm(c) 7 cm(d) 10 cm

3CBSE 2025

A cone of height 12 cm and slant height 13 cm is surmounted on a hemisphere having radius equal to that of cone. The entire height of the solid is

(a) 17 cm(b) 18 cm(c) 22 cm(d) 23 cm

The curved surface area of a cone of radius 7 cm and slant height 10 cm is

(a) 220 cm²(b) 154 cm²(c) 440 cm²(d) 374 cm²

An ice-cream cone with a scoop on top is the combination of

(a) a cone and a hemisphere(b) a cylinder and a cone(c) a cylinder and a hemisphere(d) two hemispheres

The total surface area of a solid hemisphere of radius 7 cm is

(a) 308 cm²(b) 462 cm²(c) 154 cm²(d) 616 cm²

7CBSE 2026

A camping tent in hemispherical shape of radius 1.4 m, has a door opening of area 0.50 m². Outer surface area of the tent is

(a) 11.78 m²(b) 12.32 m²(c) 11.82 m²(d) 12.86 m²

The volume of a cylinder of radius 7 cm and height 10 cm is

(a) 1540 cm³(b) 440 cm³(c) 770 cm³(d) 3080 cm³

9Assertion–ReasonCBSE 2024

Assertion (A): Two cubes each of edge length 10 cm are joined together. The total surface area of newly formed cuboid is 1200 cm².
Reason (R): Area of each surface of a cube of side 10 cm is 100 cm².

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).(c) Assertion (A) is true but Reason (R) is false.(d) Assertion (A) is false but Reason (R) is true.

10Assertion–Reason

Assertion (A): The largest sphere that fits in a cube of edge 10 cm has radius 5 cm.
Reason (R): The diameter of that sphere equals the edge of the cube.

Case study

A tent is in the shape of a cylinder surmounted by a conical top. The cylindrical part has height 2.1 m and diameter 4 m, and the slant height of the top is 2.8 m. The base is not covered with canvas.

The curved surface area of the cylindrical part is

(a) 13.2 m²(b) 17.6 m²(c) 26.4 m²(d) 52.8 m²

The curved surface area of the conical top is

(a) 8.8 m²(b) 26.4 m²(c) 35.2 m²(d) 17.6 m²

The cost of canvas at ₹ 500 per m² is

(a) ₹ 22000(b) ₹ 13200(c) ₹ 8800(d) ₹ 44000