MEDIUM
Earn 100

Calculate the average density of earth in terms of g, G, R.

Important Questions on Gravitation

EASY
The ratio of the total surface area and volume of a sphere is 2 : 7. Its radius is _____.
EASY
What is the area of triangle whose sides are 3 cm5 cm and 4 cm?
MEDIUM
The base of a triangle is equal to the perimeter of a square whose diagonal is 92 cm, and its height is equal to the side of a square whose area is 144 cm2. The area of the triangle (in cm2) is _____.
EASY
The sides of a triangle are in the ratio 3 : 2 : 4 and the perimeter is 72 cm, Find the length of each side (in cm) of the triangle.
MEDIUM
The radius of a circular field is equal to the side of a square field. If the difference between the perimeter of the circular field and that of the square field is 32 m, what is the perimeter of the square field?
MEDIUM
The two parallel sides of a trapezium are 17 cm and 15 cm, respectively. If the height of the trapezium is 6 cm, then its area (in m2) is:
EASY
If the area of an equilateral triangle is 363 cm2, then the perimeter of the triangle is:
MEDIUM
The radius of the base of a right circular cylinder is increased by 20%. By what per cent should its height be reduced so that its volume remains the same as before?
EASY
A plano-convex lens of unknown material and unknown focal length is given. With the help of a spherometer we can measure the
EASY
The radius of a circular garden is 42 m. The distance (in meter) covered by running 8 rounds around it is: (Take π=227
MEDIUM
N solid metallic spherical balls are melted and recast into a cylindrical rod whose radius is 3 times that of a spherical ball and height is 4 times the radius of a spherical ball. The value of N is:
EASY
The radius of a circular field is 31.5 metres. What is the circumference?
MEDIUM
A and B are standing on the same side of a wall and observe that the angles of elevation to the top of the wall are 45° and 60°
respectively. If the height of the wall is 50 m. the distance between A and B is: (Use 3=1.73 and 2=1.41)
MEDIUM
A rectangular lawn whose length is twice its breadth is extended by having four semi-circular portions on its sides. What is the total area (in m2) of the lawn if the smaller side of the rectangle is 12 m? (Take π=3.14)
HARD
Find the cost of carpeting a room which is 11 m long and 6 m broad by a carpet which is 60 cm broad at the rate of 112.50 per meter.
MEDIUM
A cube of side 1 m length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
EASY
If a cuboid has l=24 cm, b=16 cm, h=7.5 cm, its lateral surface area is ______.
EASY
The area of the four walls of a room having length 6 cm breadth 4 m and height 4 m, is:
HARD
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. 
MEDIUM

A jar is filled with two non-mixing liquids 1 and 2 having densities d1 and d2, respectively. A solid ball, made of a material of density d3, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for d1, d2 and d3?

Question Image