Students can refer to the following MCQ Questions for Class 9 Surface areas and Volumes with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here collection of multiple choice questions for Surface areas and Volumes Class 9 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

## Class 9 Surface areas and Volumes MCQs Questions with Answers

We have provided below chapter wise MCQs questions for Class 9 Surface areas and Volumes with answers which will help the students to go through the entire syllabus and and practice multiple choice questions provided here with solutions. As Surface areas and Volumes MCQs in Class 9 pdf download can be really scoring for students, you should go thorough all problems provided below so that you are able to get more marks in your exams.

#### MCQ Questions for Class 9 Surface areas and Volumes

**Question. A hemispherical bowl is made of steel of 0.25 cm thickness. The inner radius of the bowl is 5 cm. The volume of steel used is _____. (Use π = 3.141)**

(A) 42.15 cm^{3}

(B) 41.52 cm^{3}

(C) 41.25 cm^{3}

(D) 40 cm^{3}

## Ans.

C

**Question.** An inverted cone of vertical height 12 cm and the radius of base 9 cm contains water to a depth of 4 cm. Find the area of the interior surface of the cone not in contact with the water. [Use π = 22/7]

(A) 402.12 cm^{2}

(B) 298 cm^{2}

(C) 377.14 cm^{2}

(D) 315 cm^{2}

## Ans.

C

**Question.** A sector of a circle of radius 12 cm has the angle 120°. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.

(A) 189.61 cm^{3}

(B) 169.51 cm^{3}

(C) 179.61 cm^{3}

(D) 125.51 cm^{3}

## Ans.

A

**Question.** If the radii of the circular ends of bucket in the form of frustum are 28 cm and 7 cm and the height is 45 cm. The capacity of the bucket is _____.

(A) 48150 cm^{3}

(B) 48510 cm^{3}

(C) 48105 cm^{3}

(D) 48205 cm^{3}

## Ans.

B

**Question.****The ratio between the volume of two sphere is 8 : 27. What is the ratio between their surface areas?**

(A) 4 : 9

(B) 4 : 5

(C) 5 : 6

(D) 4 : 7

## Ans.

A

**Question.** A cylinder, whose height is two-thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.

(A) 4 cm

(B) 5 cm

(C) 3 cm

(D) 6 cm

## Ans.

A

**Question.** A right circular cone is 4.1 cm high and the radius of its base is 2.1 cm. Another right circular cone is 4.3 cm high and the radius of the base is 2.1 cm. Both the cones are melted and recast into a sphere. Find the diameter of the sphere.

(A) 6.4 cm

(B) 4.2 cm

(C) 2.1 cm

(D) 5.6 cm

## Ans.

B

**Question.** The number of solid spheres, each of diameter 6 cm that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm, is ____.

(A) 3

(B) 4

(C) 5

(D) 6

## Ans.

C

**Question.** A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.

(A) 92.5 cm^{3}

(B) 72 cm^{3}

(C) 63.5 cm^{3}

(D) 81 cm^{3}

## Ans.

D

**Question.** The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?

(A) 20 cm

(B) 25 cm

(C) 10 cm

(D) 15 cm

## Ans.

A

**Question.** A cuboidal metal of dimensions 44 cm × 30 cm × 15 cm was melted and cast into a cylinder of height 28 cm. Its radius is _____.

(A) 20 cm

(B) 15 cm

(C) 10 cm

(D) 25 cm

## Ans.

B

**Question.** Study the question and the statements given below and decide which of the statement(s) is/are necessary to answer the question. What is the capacity of the cylindrical tank?

I. The area of the base is 61,600 sq. cm.

II. The height of the tank is 1.5 times the radius.

III. The circumference of base is 880 cm.

(A) Only I and II

(B) Only II and III

(C) Only I and III

(D) Only II and either I or III

## Ans.

D

** Question. A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and the height of the cone outside the hemisphere is 5 cm, find the volume of water left in the tub. (Take p = 22/7)**(A) 616 cm

^{3}

(B) 600 cm

^{3}

(C) 535 cm

^{3}

(D) 716 cm

^{3}

## Ans.

A

**Question.** Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r.

(A) 4/3πr^{2}

(B) 2πr^{2}

(C) 1/3πr^{2}

(D) 2/3πr^{2}

## Ans.

C

**Question.****A cylindrical vessel of diameter 4 cm is partly filled with water. 300 lead balls are dropped in it. The rise in water level is 0.8 cm. The diameter of each ball is ____.**

(A) 0.8 cm

(B) 0.4 cm

(C) 0.2 cm

(D) 0.5 cm

## Ans.

B

**Question.** A tent is in the shape of a right circular cylinder up to a height of 3 m and then becomes a right circular cone with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of ₹ 2 per m^{2}, if the radius of the base is 14 m.

(A) ₹ 2068

(B) ₹ 2156

(C) ₹ 2248

(D) ₹ 1872

## Ans.

A

**Question.** The internal and external diameters of a hollow hemispherical vessel are 24 cm and 25 cm respectively. The cost to paint 1 cm^{2} of the surface is ₹ 0.05. Find the total cost to painting the vessel all over.

(A) ₹ 108.32

(B) ₹ 296.28

(C) ₹ 101.59

(D) ₹ 96.28

## Ans.

D

**Question.** A bucket is in the form of a frustum of a cone, its depth is 15 cm and the diametersof the top and the bottom are 56 cm and 42 cm respectively. How many litres can the bucket hold?

(A) 13 L

(B) 27 L

(C) 42.94 L

(D) 28.49 L

## Ans.

D

**Question.****To construct a wall 24 m long, 0.4 m thick and 6 m high, bricks of diamensions 25 cm × 16 cm × 10 cm each are used. If the mortar occupies 1/10 ^{th }of the volume of the wall, find the number of bricks used.**

(A) 12960

(B) 14420

(C) 24566

(D) 14296

## Ans.

A

**Question.** In a marriage ceremony of her daughter Poonam, Ashok has to make arrangements for the accommodation of 150 persons. For this purpose, he plans to build a conical tent in such a way that each person have 4 sq. metres of the space on ground and 20 cubic metres of air to breath. What should be the height of the conical tent?

(A) 20 m

(B) 15 m

(C) 12 m

(D) 30 m

## Ans.

B

**Question.** A conical vessel of radius 12 cm and height 16 cm is completely filled with water. A sphere is lowered into the water and its sized is such that, when it touches the sides, it is just immersed. What fraction of the water overflows ?

(A) 3/8

(B) 4/7

(C) 1/2

(D) 59

## Ans.

A

**Question.** The decorative block shown in the figure i s m a d e o f two solids, a c u b e a n d a hemisphere. The base of the block is a cube with edge 5 cm, and the hemisphere fixed on the top has a diameter of 4.2 cm. The total surface area of the block is ____.

(A) 150 cm^{2}

(B) 160.86 cm^{2}

(C) 162.86 cm^{2}

(D) 163.86 cm^{2}

## Ans.

D

**Question.** Which of the following statement is INCORRECT?

(A) If from a solid cubic block a hemisphere of maximum diameter is cut-off, then surface area of the cubic block is decrease.

(B) If two sphere are melted to form a cylinder, then surface area of cylinder is the sum of surface area of twosphere.

(C) If a wire is wound about a cylinder so as to cover the whole surface, then length of the wire is equal to the surface area of the cylinder.

(D) All of these.

## Ans.

B

**Question.** A tent is made in the form of a frustum of a cone surmounted by another cone. The diameter of the base and the top of the frustum are 20 m and 6 m respectively and the height is 24 m. If the height of the tent is 28 m and the radius of the conical part is equal to the radius of the top of the frustum, find the quantity of canvas required.

(A) 924.71 m^{2}

(B) 1402.23 m^{2}

(C) 1124.56 m^{2}

(D) 1068.57 m^{2}

## Ans.

D

**Question.** The interior of a building is in the form of cylinder of diameter 4.3 m and height 3.8 m, surmounted by a cone whose vertical angle is a right angle. Find the volume and curved surface area of the building respectively. (Take p = 3.14).

(A) 65.56 m^{3}, 71.83 m^{2}

(B) 70.24 m^{3}, 62.24 m^{2}

(C) 62.26 m^{3} , 75.56 m^{2}

(D) 72.26 m^{3}, 66.46 m^{2}

## Ans.

A

Our teachers have developed really good **Multiple Choice Questions** covering all important topics in each chapter which are expected to come in upcoming tests and exams, as MCQs are coming in all exams now therefore practice them carefully to get full understanding of topics and get good marks. Download the latest questions with multiple choice answers for Class 9 Surface areas and Volumes in pdf or read online for free.

The above **NCERT based MCQs for Class 9 Surface areas and Volumes** have been designed by our teachers in such a way that it will help you a lot to gain an understanding of each topic. These CBSE NCERT Class 9 Surface areas and Volumes Multiple Choice Questions have been developed and are available free for benefit of Class 9 students.

#### Advantages of **MCQ Questions for Class 9 Surface areas and Volumes** **with Answers**

a) MCQs will help the kids to strengthen concepts and improve marks in tests and exams.

b) Multiple Choice Questions for Surface areas and Volumes Class 9 have proven to further enhance the understanding and question solving skills.

c) Regular reading topic wise questions with choices will for sure develop very good hold over each chapter which will help in exam preparations.

d) It will be easy to revise all Surface areas and Volumes chapters and faster revisions prior to class tests and exams.

Free Printable **MCQs in PDF of CBSE Class 9 Surface areas and Volumes** are designed by our school teachers and provide best study material as per CBSE NCERT standards.

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