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A sphere of diameter 6 cm is dropped in a right circular cylindrical vessedl partly filled with water. The diameter of the cylindrical vessel is 12 cm. If the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel ?

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Important Questions on Geometry

EASY

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

Which of the following solids has least number of faces?

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Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

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 Aptitude>Geometry>Geometry>Solid Figures in Geometry

A metallic sphere of diameter

40 cm

is melted into spheres of radius

0.5 cm

. How many such small balls can be made?

EASY

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

The volume of two spheres are in the ratio

64 : 125

. The the ratio of their surface areas is ____.

MEDIUM

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

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 Aptitude>Geometry>Geometry>Solid Figures in Geometry

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

EASY

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

Find the height of a cube whose volume is

330 {cm}^{3}

and base area is

15 {cm}^{2}

EASY

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

The curved surface area of a cylinder is

25344 {cm}^{2}

and its height is

32 cm

. What is the volume of a cylinder whose capacity is

\frac{π}{792}

times the volume of the given cylinder?

EASY

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

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

(Take $π = \frac{22}{7}$ )

HARD

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

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 Aptitude>Geometry>Geometry>Solid Figures in Geometry

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?

MEDIUM

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

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 Aptitude>Geometry>Geometry>Solid Figures in Geometry

What is the volume (in

{cm}^{3}

) of a sphere of diameter

18 cm

(correct upto two decimal places)?

EASY

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

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 Aptitude>Geometry>Geometry>Solid Figures in Geometry

The radius of a right circular cylinder is

7 cm

. Its height is twice its radius.What is the curved surface area of the cylinder?

EASY

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

The total surface area of a cube is

864 {cm}^{2}

. What is its volume (in

{cm}^{3}

EASY

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

If the radius of a right circular cone is decreased by

10 %

and its height is increased by

40 %

, then by what percent does its volume increase or decrease?

EASY

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

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:

MEDIUM

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

The radius of a sphere is reduced by

40 %

. By what percent will its volume decrease?

EASY

Quantitative Aptitude>Geometry>Geometry>Solid Figures in Geometry

The total surface area of a hemisphere is

1039.5 c m^{2}

. Find its diameter (in

c m

.).

A sphere of diameter 6 cm is dropped in a right circular cylindrical vessedl partly filled with water. The diameter of the cylindrical vessel is 12 cm. If the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel ?

Important Questions on Geometry

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