# CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 13**:

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

(a)

(b)

(c)

(d)

**Answer**:

(c)

**Question 14**:

The ratio between the volumes of two spheres is . What is the ratio between their surface areas?

(a)

(b)

(c)

(d)

**Answer**:

(d)

**Question 15**:

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

(a)

(b)

(c)

(d)

**Answer**:

(a)

**Question 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)

(b)

(c)

(d)

**Answer**:

(b)

## 2 Mark Questions

Unless stated otherwise, take .

**Question 1**:

cubes each of volume are joined end to end. Find the surface area of the resulting cuboid.

**Answer**:

Abbreviation: Curved Surface Area TSA Total Surface Area

Volume of

According to question,

For the resulting cuboid, length breadth and height

Surface area of resulting cuboid