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

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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


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


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


3. 1:1

4. 1:7


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


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


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


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


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.