# Surface areas and Volumes MCQ Class 9 Mathematics

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

**Answer**

B

**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

**Answer**

B

**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

**Answer**

D

**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%

**Answer**

C

**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

**Answer**

D

**Question. A cuboid is 12 cm long, 9 cm broad and 8 cm high. Its total surface area is**

(a) 864 cm^{2}

(b) 552 cm^{2}

(c) 432 cm^{2}

(d) 276 cm^{2}

**Answer**

B

**Question. The internal and external radii of a hemispherical container are r _{1} and r_{2} respectively. The curved surface area of the container is**

(a) π( r

_{1}

^{2}+ r

_{2}

^{2})

(b) 2π( r

_{1}

^{2}+r

_{2}

^{2})

(c) 2π( r

_{2}

^{2}– r

_{1}

^{2})

(d) π( r

_{2}

^{2}– r

_{1}

^{2})

**Answer**

B

**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

**Answer**

C

**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

**Answer**

C

**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

**Answer**

A

**Question. If 6 cubes of side 2 cm are joined, then find the total surface area (in cm ^{2}) of resulting cuboid.**

(a) 144

(b) 48

(c) 24

(d) 104

**Answer**

D

**Question. The largest sphere is cut off from a cube of side 5 cm. The volume of the sphere will be**

(a) 27π cm^{3}

(b) 30π cm^{3}

(c) 108π cm^{3}

(d) 125π/6 cm^{3 }

**Answer**

D

**Question. Number of pair of surfaces of same area in a cuboid are**

(a) 6

(b) 4

(c) 2

(d) 3

**Answer**

D

**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

**Answer**

C

**Question. The lateral surface area of a cube of side a units is _______ sq. units.**

(a) 4a^{2}

(b) 6a^{2} (c) a^{2} (d) a^{3 }

**Answer**

A

**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

**Answer**

D

**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

**Answer**

D

**Question. The curved surface area of a right circular cylinder is 1520 cm ^{2} and diameter of its base is 30 cm. Then the volume of the cylinder is **

(a) 11400 cm

^{3}

(b) 11560 cm

^{3}

(c) 12700 cm

^{3}

(d) 11600 cm

^{3 }

**Answer**

A

**Question. The surface area of a cube whose side is 5 cm is**

(a) 125 cm^{2}

(b) 28 cm^{2}

(c) 100 cm^{2}

(d) 150 cm^{2}

**Answer**

D

**Question. The total surface area of a cube is 216 cm ^{2} , its each side is**

(a) 4 cm

(b) 5 cm

(c) 6 cm

(d) 7 cm

**Answer**

C

**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

**Answer**

D

**Question. Find the volume of sphere, the teacher made.**

(a) 288π cm^{3}(b) 184π cm^{3}

(c) 240π cm^{3}(d) 216π cm^{3 }

**Answer**

A

**Question. The radius of the sphere is**

(a) 2 cm

(b) 4 cm

(c) 5 cm

(d) 6 cm

**Answer**

D

**Question. Find the volume of the cylindrical shape.**

(a) 288 π cm^{3}(b) 244 π cm^{3}

(c) 240 π cm^{3}(d) 216 π cm^{3 }

**Answer**

A

**Question. The formula for ‘volume of sphere’ is**

(a) 4/3πr^{2}

(b) πr^{2}h

(c) 4/3πr^{3} (d) 2/3 πr^{3}

**Answer**

C