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A right cylindrical vessel is full with water. How many right cones having the same diameter and height as that of the right cylinder will be needed to store that water?

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Important Questions on Geometrical Shapes

HARD
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
A sphere is divided in 2 : 3. Big portion moulded into a cone of which base radius is equal to its height. While small portion moulded into a cylinder of which height is equal to base radius. Find the ratio of Base radius of cone and height of cylinder. 
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
Find the perimeter (in cm) of a semicircle of radius 7 cm.
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
If the perimeter of a semi-circle is 144 cm, find its radius (in cm).
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
Find the total surface area (in cm2) of a right circular cylinder of diameter 21 cm and height 10 cm.
MEDIUM
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
The length of a rectangular field is increased by 20% and its breadth is decreased by 20%. What is the per cent increase or decrease in its area?
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
The length of the diagonal and the breadth of a rectangle is 25 cm and 7 cm respectively. Calculate its area (in cm2).
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
The curved surface area and the height of a right circular cylinder are 660 cm2 and 10 cm respectively. Find its diameter (in cm).
MEDIUM
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
The length of each equal side of an isosceles triangle is 10 cm and the included angle between those two sides is 45°.Find the area of the triangle.
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
The radius of a circular field is 31.5 metres. What is the circumference?
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration

The perimeter and the breadth of a rectangle are 52 cm and 12 cm respectively. Find its area in cm2.

EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
The curved surface area and the diameter of a right circular cylinder are 660 cm2 and 21 cm. respectively. Find its height (in cm).
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration

If the area of a circle is 9π sq.cm, then its circumference is:

1. 9 cm
2. 6π cm
3. 3π cm
4. 6 cm

EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
What is the area (in cm2) of a square having perimeter 84 cm?
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
The area of a semicircle is 77 cm2. Calculate its perimeter in cm.
MEDIUM
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
A spherical ball of a lead of the radius 14 cm is melted and recast into spheres of the radius 2 cm.The number of small spheres is:
HARD
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
In order to measure the volume of irregular shaped stone, Peter kept the stone in a water filled pan having a radius of 5 cm. If the level of water in the pan increases from 10 cm to 17 cm, then what is the volume of the stone? 
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration

By melting a solid cylinder of radius 3 cm and height 20 cm, five spherical balls each of same size are formed. Find the radius of each ball. 

(A) 2 cm

(B) 3 cm 

(C) 4 cm 

(D) 5 cm 

EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
Find the curved surface area (in cm2 ) of right circular cylinder of diameter 21 cm and height 10 cm.
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration
The area of a square field is 196sq.m. What would be the length of the rope required to fence the field from any three sides?
EASY
Numerical Aptitude>Geometry>Geometrical Shapes>Mensuration

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What is the area of this trapezoidal garden (All measurements are in cm)? 

1. 60 sq.cm
2. 180 sq.cm
3. 210 sq.cm 
4. 240 sq.cm