# NCERT Class 10 Chapter 10 Surface Areas and Volumes Official CBSE Board Sample Problems Multiple Choice Question

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## Question

**A coot of height 24 cm and radius of base 6 cm is made up of modeling clay. A child reshapes it in from of a sphere the radius of sphere is**

1. 5cm

2. 6cm

3. 8cm

4. 12cm

## Question

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

1. 2:3

2. 4:5

3. 5:6

4. 4:9

## Question

**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 i conical part is**

1. 1:3

2.

3. 1:1

4. 1:7

## Question

**A circular tent is cylindrical to a height of 4 m and conical above it. If its diameter is 210m and Its slant height is 40m. The total area of the canvas required in m2 is**

1. 1560

2. 15840

3. 3960

4. None of these

## Question

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

(a) r cm

(b) 2r cm

(c) h cm

(d) 2h cm

## Question

**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**

1. 2r

2. 3r

3. r

4. 4r

## Question

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

1. 63

2. 126

3. 21

4. 130

## Question

**A hollow garden roller of radius 42 cm with length 152 cm is made of cast iron 2 cm thick. Which question cannot be answered from the given information?**

1. Volume of the Roller

2. Region covered by the roller

3. Area on the roller that can painted,

4. Cost of leveling the ground using roller.