Conversion of shapes in surface area and volumes

Generate an educational illustration showing various geometric shapes like cylinders, spheres, and cones, integrating mathematical formulas related to their volumes and surface areas, with a background of a classroom or study environment.

Mastering Shapes: Surface Area and Volume Quiz

Test your knowledge on the fascinating concepts of surface area and volume through this engaging quiz. Ideal for students and enthusiasts alike, this quiz challenges you with a variety of questions related to the conversion of shapes and their properties.

Join us to explore:

Volume calculations of various geometrical shapes
Relationships between different solid forms
Practical applications of geometric conversions

11 Questions3 MinutesCreated by CalculatingMaster42

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 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

Conversion of shapes in surface area and volumes

Mastering Shapes: Surface Area and Volume Quiz

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