Conversion of shapes in surface area and volumes

Name:

Volume of hemisphere is

4πr3

2πr3

2/3πr3

4/3πr3

How many cylinders having 2.1 cm of radius and 1.4 cm of height can be made out of a cuboid metal box having dimensions 33 cm, 21 cm, 10.5 cm?

138

845

139

844

Metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single solid sphere. Find the radius of the resulting sphere.

A cylinder is melted down into 7 spheres, what is the volume of each sphere

Volume of cylinder x 7

Volume of cylinder / 7

Volume of cylinder + 7

Volume of cylinder - 7

When a solid is converted from one shape to another, what happens to the volume?

it increases

it decreases

it remains constant

it doubles

The radius of sphere is 3cm . It is melted and drawn into a wire into a wire of diameter of 2mm . The length of the wire is

12cm

18cm

36cm

66cm

The radius of a wire is decreased to one third. If volume remains the same, the length will become:

3 times

6 times

9 times

27 times

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

r cm

2r cm

h cm

2h cm

A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is

4πrh + 4πr2

4πrh − 4πr2

4πrh + 2πr2

4πrh − 2πr2

A cylinder and a cone area of same base radius and of same height. The ratio of the volume of cylinder to that of cone is:

3 : 1

1 : 3

2 : 3

1 : 1

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