MCQ Questions | Class 10 Maths Chapter 13 | Surface Areas and Volumes with Answers

MCQ | Surface Areas and Volumes Class 10 | Sat B

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Surface Areas and Volumes Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 10

NCERT Solutions Class 10 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	10th
Subject:	Maths
Chapter:	13
Chapters Name:	Surface Areas and Volumes
Medium:	English

Ncert Solutions for Class 10 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Surface Areas and Volumes | Class 10 Maths | NCERT Solutions

Q1.	A cylinder and a cone are of same base radius and of same height. The ratio of the volume of the cylinder to that of the cone is
	A. 2 : 1
	B. 3 : 1
	C. 2 : 3
	D. 3 : 2

Ans: 3 : 1

Q2.	The volume of a sphere is 4851 cm³. Its diameter is
	A. 3.5 cm
	B. 7 cm
	C. 14 cm
	D. 21 cm

Ans: 21 cm

Q3.	A piece of paper is in the shape of a semi¬circular region of radius 10 cm. It is rolled to form a right circular cone. The slant height is
	A. 5 cm
	B. 10 cm
	C. 15 cm
	D. 20 cm

Ans: 1 cm
Explaination: Reason: Slant height l = r

Q4.	The base radii of two circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes are
	A. 9 : 25
	B. 5 : 3
	C. 9 : 5
	D. 3 : 25

Ans: 9 : 25

Q5.	The curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is
	A. 55 cm²
	B. 110 cm²
	C. 220 cm²
	D. 440 cm²

Ans: 22 cm²
Explaination: Reason: Here r = 3 cm, R = 4 cm, l = 10 cm
∴ Curved surface area = πl(r + R) = \(\frac{22}{7}\) × 10(3 + 4)=\(\frac{22}{7}\) × 10 × 7 = 220 cm²

Q6.	If two solid hemispheres of same base radius are joined together along their bases, then curved surface area of this new solid is
	A. 3πr²
	B. 4πr²
	C. 5πr²
	D. 6πr²

Ans: 4πr²

Q7.	The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is
	A. 10 cm
	B. 12 cm
	C. 15 cm
	D. 16 cm

Ans: 12 cm
Explaination: l² = h² + (R-r)² => 13² = h² + (9 – 4)²
⇒ 169 = h² + 25
⇒ h² = 169 – 25
⇒ h² = 144
⇒ h = 12

Q8.	A surahi is the combination of
	A. a sphere and a cylinder
	B. a hemisphere and a cylinder
	C. two hemispheres
	D. a cylinder and a cone

Ans: a sphere and a cylinder
Explaination: (1) A sphere and a cylinder.

Q9.	A conical tent with base-radius 7 m and height 24 m is made from 5 m wide canvas. The length of the canvas used is (Take π = 22/7)
	A. 100 m
	B. 105 m
	C. 110 m
	D. 115 m

Ans: 110 m

Q10.	A container (open at the top) made up of metal sheet is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends 8cm and 20 cm respectively. The amount of liquid the container can hold is (Take π = 3.14)
	A. 104.49 l
	B. 10.95 l
	C. 12 l
	D. 10.45 l

Ans: 10.45 l

Q11.	A solid piece of iron in the form of a cuboid of dimensions 49 cm x 33 cm x 24 cm, is moulded to form a solid sphere. The radius of the sphere is
	A. 21 cm
	B. 23 cm
	C. 25 cm
	D. 19 cm

Ans: 21 cm

Q12.	The volumes of two spheres are in the ratio 125 : 64. The ratio of their surface areas is
	A. 9 : 16
	B. 16 : 9
	C. 25 : 16
	D. 16 : 25

Ans: 25 : 16

Q13.	If the volume of a cube is 343 cm , then its edge is
	A. 9cm
	B. 8cm
	C. 49cm
	D. 7cm

Ans: 7cm

Q14.	A cube whose edge is 20 cm long, has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest possible areas?
	A. 90.72 cm²
	B. 256.72 cm²
	C. 330.3 cm²
	D. 514.28 cm²

Ans: 514.28 cm²

Q15.	The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is
	A. 10 cm
	B. 12 cm
	C. 15 cm
	D. 16 cm

Ans: 12 cm

Q16.	The radius and height of a right circular cone and that of a right circular cylinder are respectively equal. If the volume of the cylinder is 300 cu.cm, then the volume of the cone is
	A. 300 cu.cm
	B. 100 cu.cm
	C. 600 cu.cm
	D. 900 cu.cm

Ans: 100 cu.cm

Q17.	If a solid metallic sphere of radius 8 cm is melted and recasted into n spherical solid balls of radius 1 cm, then n =
	A. 500
	B. 510
	C. 512
	D. 516

Ans: 512

Q18.	If the diameter of a metallic sphere is 6 cm, it is melted and a wire of diameter 0·2 cm is drawn, then the length of the wire made shall be
	A. 24 m
	B. 28 m
	C. 32 m
	D. 36 m

Ans: 36 m

Q19.	A cube whose edge is 20 cm long, has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest possible areas?
	A. 90.72 cm²
	B. 256.72 cm²
	C. 330.3 cm²
	D. 514.28 cm²

Ans: 514.28 cm²
Explanation:
Diameter of largest circle = 20 cm.
∴ Area of circle = 100π cm²
∴ Area of 6 circles = 6 × 100π = 600π cm² (∵ there are six faces in a cube)
Also, Area of cube = 6 × (20)² = 2400 cm²
Area of unpainted surface = 2400 – 600π
= 2400 – 600 × \(\frac{22}{7}\)
= 514.28 cm².

Q20.	If two solid hemispheres of the same base radius r are joined together along their bases, then curved surface area of this new solid is
	A. 4πr²
	B. 6πr²
	C. 3πr²
	D. 8πr²

Ans: 4πr²

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

MCQ Questions | Class 10 Maths Chapter 13

MCQ Questions | Class 10 Maths Chapter 13 | Surface Areas and Volumes with Answers

MCQ | Surface Areas and Volumes Class 10 | Sat B

Objective Question | NCERT Maths Class 10

Ncert Solutions for Class 10 Maths | Objective Type Questions

Surface Areas and Volumes | Class 10 Maths | NCERT Solutions

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

Ncert Solutions for Class 10 Maths Chapter 1

Ncert Solutions for Class 10 Maths Chapter 2

Ncert Solutions for Class 10 Maths Chapter 3

Ncert Solutions for Class 10 Maths Chapter 4

Ncert Solutions for Class 10 Maths Chapter 5

Ncert Solutions for Class 10 Maths Chapter 6

Ncert Solutions for Class 10 Maths Chapter 7

Ncert Solutions for Class 10 Maths Chapter 8

Ncert Solutions for Class 10 Maths Chapter 9

Ncert Solutions for Class 10 Maths Chapter 10

Ncert Solutions for Class 10 Maths Chapter 11

Ncert Solutions for Class 10 Maths Chapter 12

Ncert Solutions for Class 10 Maths Chapter 13

Ncert Solutions for Class 10 Maths Chapter 14

Ncert Solutions for Class 10 Maths Chapter 15

NCERT SOLUTIONS

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