Conversion of shapes in surface area and volumes
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
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.
12
14
15
20
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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