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How many small cubes are used to form given shape?

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Important Questions on Geometry

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The volumes of spheres A and B are in the ratio

125 : 64 .

If the sum of radii of A and B is

36 cm

, then the surface area

(in {cm}^{2})

of A is?

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The curved surface area of a hemisphere with radius $7 cm$ is:

(Take $π = \frac{22}{7}$ )

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

If the radius of the right circular cylinder is decreased by

10 %

, and the height is increased by

20 %

, then the percentage increase/decrease in its volume is:

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

Which of the following solids has least number of faces?

MEDIUM

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

A solid sphere of diameter

17.5

c m

is cut into two equal halves. What will be the increase (in

c m^{2}

) in the total surface area?

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

A metallic sphere of diameter

40 cm

is melted into spheres of radius

0.5 cm

. How many such small balls can be made?

HARD

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The circumference of the base of a conical tent is

66 m

. If the height of the tent is

36 m

, what is the area (in

m^{2}

) of the canvas used in making the tent? (Take

π = \frac{22}{7}

)

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The volume of two spheres are in the ratio

64 : 125

. The the ratio of their surface areas is ____.

MEDIUM

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The radius of a sphere is reduced by

40 %

. By what percent will its volume decrease?

MEDIUM

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

A sector of radius

10.5 cm

with the central angle

120^{o},

is folded to form a cone by joining the two bounding radii of the sector. What is the volume (in

{cm}^{3}

) of the cone so formed?

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

When the radius of a sphere is increased by

5 cm

, its surface area increases by

704 {cm}^{2}

. The diameter of the original sphere is ______. (Take

π = \frac{22}{7}

)

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The radius of a sphere is doubled. The percentage of increase in its surface area is?

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The ratio of the volumes of two right circular cylinders A and B is

\frac{x}{y}

and the ratio of their heights is

a : b

. What is the ratio of the radii of A and B?

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

Find the height of a cube whose volume is

330 {cm}^{3}

and base area is

15 {cm}^{2}

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The edge of a cube is $8 cm$ .What is the total surface area of the cube?

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

What is the volume (in

{cm}^{3}

) of a sphere of diameter

18 cm

(correct upto two decimal places)?

EASY

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

The total surface area of a solid cylinder is

1155 {cm}^{2}

.Its curved surface area is two-fifth of its total surface area.What is the height (in

cm

) of the cylinder?

HARD

Quantitative Abilities>Geometry>Geometry>3D Geometrical Shapes

Consider two equivalent, triangular hollow prisms A and B made of thin glass plates and arranged with negligible spacing as shown in the figure. A beam of white light is incident on prism A from the left. Given that, the refractive index of water is inversely related to temperature, the beam to the right of prism B would not appear white, if

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