Please refer to Chapter 13 Surface areas and Volumes MCQ Class 9 Mathematics with answers below. These multiple-choice questions have been prepared based on the latest NCERT book for Class 9 Mathematics. Students should refer to MCQ Questions for Class 9 Mathematics with Answers to score more marks in Grade 9 Mathematics exams. Students should read the chapter Surface areas and Volumes and then attempt the following objective questions.

MCQ Questions Class 9 Mathematics Chapter 13 Surface areas and Volumes

The Surface areas and Volumes MCQ Class 9 Mathematics provided below covers all important topics given in this chapter. These MCQs will help you to properly prepare for exams.

Question. Volume of a hemisphere is 19404 cubic cm. The total surface area is
(a) 2772 sq. cm
(b) 4158 sq. cm
(c) 5544 sq. cm
(d) 1386 sq. cm

Question. If each edge of a cuboid of total surface area S is doubled, then total surface area of the resulting cuboid is
(a) 2S
(b) 4S
(c) 6S
(d) 8S

Question. The ratio of the radii of two spheres is 4 : 5. The ratio of their surface areas is
(a) 4 : 5
(b) 2 : 5
(c) 5 : 4
(d) 16 : 25

Question. If the radius and height of a cone are both increased by 10%, then the volume of the cone is approximately increased by
(a) 10%
(b) 21%
(c) 33%
(d) 100%

Question. The altitude of a circular cylinder is increased by six times and the base area is decreased by one-ninth of its value. The factor by which the lateral surface area of the cylinder increases, is
(a) 2/3
(b) 1/2
(c) 3/2
(d) 2

Question. A cuboid is 12 cm long, 9 cm broad and 8 cm high. Its total surface area is
(a) 864 cm² 
(b) 552 cm² 
(c) 432 cm² 
(d) 276 cm²

Question. The internal and external radii of a hemispherical container are r₁ and r₂ respectively. The curved surface area of the container is
(a) π( r₁² + r₂² )
(b) 2π( r₁² +r₂² )
(c) 2π( r₂² – r₁² )
(d) π( r₂² – r₁²)

Question. The altitude of a circular cylinder is increased three times and the base area is decreased to one-ninth of its value. The ratio of volume of the cylinder is
(a) 2 : 3
(b) 1 : 2
(c) 3 : 1
(d) 2 : 1

Question. A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere of 60 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder?
(a) 15 cm
(b) 30 cm
(c) 40 cm
(d) 25 cm

Question. The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. The ratio of the surface areas of the balloon in the two cases is
(a) 1 : 4
(b) 1 : 3
(c) 2 : 3
(d) 2 : 1

Question. If 6 cubes of side 2 cm are joined, then find the total surface area (in cm²) of resulting cuboid.
(a) 144
(b) 48
(c) 24
(d) 104

Question. The largest sphere is cut off from a cube of side 5 cm. The volume of the sphere will be
(a) 27π cm³
(b) 30π cm³
(c) 108π cm³
(d) 125π/6 cm³

Question. Number of pair of surfaces of same area in a cuboid are
(a) 6
(b) 4
(c) 2
(d) 3

Question. The total surface area of a cone of radius ‘2r’ and slant height ‘l/2’ is
(a) 2πr (l + r)
(b) πr ( l + r/4)
(c) πr (4r + l)
(d) 2πr

Question. The lateral surface area of a cube of side a units is _______ sq. units.
(a) 4a²
(b) 6a²
 (c) a²
 (d) a³

Question. The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, then the ratio of their curved surface areas is
(a) 4 : 5
(b) 25 : 16
(c) 16 : 25
(d) 5 : 4

Question. The heights of two cylinders are in the ratio 5 : 3 and their volumes are in the ratio 20 : 27. Then the ratio of their radii is
(a) 25 : 9
(b) 5 : 3
(c) 4 : 9
(d) 2 : 3

Question. The curved surface area of a right circular cylinder is 1520 cm² and diameter of its base is 30 cm. Then the volume of the cylinder is 
(a) 11400 cm³
(b) 11560 cm³
(c) 12700 cm³
(d) 11600 cm³

Question. The surface area of a cube whose side is 5 cm is
(a) 125 cm²
(b) 28 cm² 
(c) 100 cm² 
(d) 150 cm²

Question. The total surface area of a cube is 216 cm² , its each side is
(a) 4 cm
(b) 5 cm
(c) 6 cm
(d) 7 cm

Case Based MCQs

Read the following passage and answer the questions
A class teacher brings some clay in the classroom to teach the topic mensuration. First she forms a cylinder of radius 6 cm and height 8 cm and then she moulds that cylinder into sphere.

Question. When clay changes into one shape to other, which of the following remains same?
(a) Area
(b) C.S.A
(c) Radius
(d) Volume

Question. Find the volume of sphere, the teacher made.
(a) 288π cm³
(b) 184π cm³
(c) 240π cm³
(d) 216π cm³

Question. The radius of the sphere is
(a) 2 cm
(b) 4 cm
(c) 5 cm
(d) 6 cm

Question. Find the volume of the cylindrical shape.
(a) 288 π cm³
(b) 244 π cm³
(c) 240 π cm³
(d) 216 π cm³

Question. The formula for ‘volume of sphere’ is
(a) 4/3πr²
(b) πr²h
(c) 4/3πr³
(d) 2/3 πr³