Free PDF Download of CBSE Class 10 Maths Chapter 13 Surface Areas and Volumes Multiple Choice Questions with Answers. MCQ Questions for Class 10 Maths with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Maths Surface Areas and Volumes MCQs with Answers to know their preparation level.

## Class 10 Maths MCQs Chapter 13 Surface Areas and Volumes

MCQ On Surface Area And Volume Class 10 Question 1. A cylindrical pencil sharpened at one edge is the combination of

(a) two cylinders

(b) a hemisphere and a cylinder

(c) a cone and a cylinder

(d) frustum of a cone and a cylinder

**Answer**

Answer: c

Question 2. A shuttlecock used for playing badminton has the shape of the combination of

(a) a cylinder and a sphere

(b) a sphere and a cone

(c) a cylinder and a hemisphere

(d) frustum of a cone and a hemisphere

**Answer**

Answer: d

MCQ Questions On Surface Area And Volume 10th NCERT Question 3. The slant height of the frustum of a cone having radii of two ends as 5 cm and 2 cm respectively and height 4 cm is

(a) √26 cm

(b) 5 cm

(c) √65 cm

(d) 25 cm

**Answer/ Explanation**

Answer: b

Explaination:

Surface Area And Volume Class 10 MCQ Question 4. The total surface area of a hemispherical solid having radius 7 cm is

(a) 462 cm²

(b) 294 cm²

(c) 588 cm²

(d) 154 cm²

**Answer/ Explanation**

Answer: a

Explaination: Reason: Total surface area of hemisphere = 3πr² = 3 × \(\frac{22}{7}\) × 7 × 7 = 462 cm²

MCQ Of Surface Area And Volume Class 10 Question 5. A solid formed on revolving a right angled triangle about its height is

(a) cylinder

(b) sphere

(c) right circular cone

(d) two cones

**Answer/ Explanation**

Answer: c

Explaination: Reason: Right circular cone is formed.

Surface Area And Volume MCQ Questions Question 6. The surface area of a sphere is 616 cm2. Its radius is

(a) 7 cm

(b) 14 cm

(c) 21 cm

(d) 28 cm

**Answer/ Explanation**

Answer: a

Explaination:

Multiple Choice Questions On Surface Area And Volume Question 7. 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

**Answer/ Explanation**

Answer: b

Explaination:

Volume And Surface Area Multiple Choice Questions Question 8. The volume of a sphere is 4851 cm^{3}. Its diameter is

(a) 3.5 cm

(b) 7 cm

(c) 14 cm

(d) 21 cm

**Answer/ Explanation**

Answer: d

Explaination:

Surface Area And Volume Class 10 MCQ Question 9. 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

**Answer/ Explanation**

Answer: b

Explaination: Reason: Slant height l = r

MCQs On Surface Area And Volume Question 10. 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

**Answer/ Explanation**

Answer: a

Explaination:

Surface Area And Volume Multiple Choice Questions Question 11. 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

**Answer/ Explanation**

Answer: c

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

MCQ On Surface Area And Volume Question 12. 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

**Answer**

Answer: b

13. 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

**Answer/ Explanation**

Answer: b

Explaination: l² = h² + (R-r)² => 13² = h² + (9 – 4)²

⇒ 169 = h² + 25

⇒ h² = 169 – 25

⇒ h² = 144

⇒ h = 12

We hope the given MCQ Questions for Class 10 Maths Surface Areas and Volumes with Answers will help you. If you have any query regarding CBSE Class 10 Maths Chapter 13 Surface Areas and Volumes Multiple Choice Questions with Answers, drop a comment below and we will get back to you at the earliest.