## CBSE Class 10 Maths Chapter-13 Surface Areas and Volumes – Free PDF Download

Free PDF download of Important Questions with Answers for CBSE Class 10 Maths Chapter 13 – Surface Areas and Volumes prepared by expert Maths teachers from latest edition of CBSE(NCERT) books only by CoolGyan to score more marks in CBSE board examination.

CBSE Class 10 Maths Chapter-13 Surface Areas and Volumes Important Questions

**CBSE Class 10 Maths Important Questions Chapter 13 – Surface Areas and Volumes**

**1 Mark Questions**

**1. A metallic sphere of radius 10.5cm is meted and then recast into small cones each of radius 3.5cm and height 3cm, the number of such cones is**

**(a) 63**

**(b) 126**

**(c) 21**

**(d)130**

**Ans. (b)** 126

**2. A solid sphere of radius r is melted and cast into the shape of a solid cone of height r, the radius of the base of the cone is**

**(a) 2r**

**(b) 3r**

**(c) r**

**(d) 4r**

**Ans. (a)** 2r

**3. During conversion of a solid from one shape to another, the volume of new shape will**

**(a) increase**

**(b) decrease**

**(c) remain unaltered**

**(d) be doubled**

**Ans. (c)** remain unaltered

**4. A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter**

**(a) r cm**

**(b) 2r cm**

**(c) h cm**

**(d) 2h cm**

**Ans. (b)** 2r cm

**5. A solid sphere of radius r is melted and cast into the shape of a solid cone of height r, the radius of the base of the cone is**

**(a) 2r**

**(b) 3r**

**(c) r**

**(d) 4r**

**Ans. (a)** 2r

**6. A reservoir is in the shape of a frustum of a right circular cone. It is 8m across at the top and 4m across at the bottom. If it is 6m deep, then its capacity is**

**(a) 176 m ^{3}**

**(b) 196 m**

^{3}**(c) 200 m**

^{3}**(d) 110 m**

^{3}**Ans. (a)**176 m

^{3}

**7. A cone of height 24 cm and radius of base 6 cm is made up of modeling clay. A child reshapes it in the form of a sphere, the radius of the sphere is**

**(a) 5 cm**

**(b) 6 cm**

**(c) 8 cm**

**(d) 12 cm**

**Ans. (b)** 6 cm

**8. A circular tent is cylindrical to a height of 4 m and conical above it. If its diameter is 210 m and its slant height is 40m. The total area of the canvas required in m ^{2} is**

**(a) 1760**

**(b) 15840**

**(c) 3960**

**(d) 7960**

**Ans. (b)**15840

**9. The radii of the ends of a bucket 30cm high are 21 cm and 7cm. then its capacity in litres is**

**(a) 19.02**

**(b) 20.02**

**(c) 21.02**

**(d) 19.08**

**Ans. (b)** 20.02

**10. A solid is hemispherical at the bottom and conical above it. The surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is**

**(a) 1:3**

**(b) **

**(c) 1:1**

**(d) **

**Ans. (b)**

**11. The diameter of a sphere is 6cm. It is melted and drawn into a wire of diameter 2cm. The length of the wire is**

**(a) 12 cm**

**(b) 18 cm**

**(c) 36 cm**

**(d) 66 cm**

**Ans. (c)** 36 cm

**12. If the radii of the circular ends of a bucket of height 40 cm are 35cm and 14cm. Then volume of the bucket in cubic centimeters is**

**(a) 60060**

**(b) 80080**

**(c) 70040**

**(d) 80760**

**Ans. (b) **80080

**13. The diameter of a metallic sphere is 6cm. It is melted and drawn into a wire of diameter of the cross-section 0.2cm, then the length of wire is**

**(a) 12 m**

**(b) 18 m**

**(c) 36 m**

**(d) 66 m**

**Ans. (c)** 36 m

**14. The ratio between the volumes of two spheres is 8:27. What is the ratio between their surface areas?**

**(a) 2:3**

**(b) 4:5**

**(c) 5:6**

**(d) 4:9**

**Ans. (d) **4:9

**15. A hollow cube of internal edge 22cm is filled with spherical marbles of diameter 0.5cm and it is assumed that space of the cube remains unfilled. Then the number of marbles that the cube can accommodate is**

**(a) 142296**

**(b) 142396**

**(c) 142496**

**(d) 142596**

**Ans. (a)** 142296

**16. A solid is hemispherical at the bottom and conical above it. The surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is**

**(a) 1:3**

**(b) **

**(c) 1:1**

**(d) **

**Ans. (b)**