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Question 1
If the perimeter of an isosceles triangle is 8 + 4√2, find its area.
Question 2
A solid iron sphere of diameter 6 cm is melted and made into a hollow cylindrical pipe of external diameter 10 cm and of length 4 cm. The width of the sheet of the pipe is
Question 3
Three solid metallic spheres of diameters 6 cm, 8 cm and 10 cm are melted and recast into a new solid sphere. The diameter of the new sphere is
Question 4
The base of right prism is an equilateral triangle with a side of 7m, and its height is 24m. Find its volume. (nearest integer)
Question 5
A cylindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of diameter 3.5 cm through which water flows at the rate of 2 m/s. The time it take to fill the tank (in min) is
Question 6
If the surface area of a sphere is 346.5 cm2, then its radius is: (Take π = 22/7)
Question 7
A farmer has two farms. One is circular in shape and other is square in shape. If total area of these farms is 5450 square m and diameter of the circular farm is 70 m. What is the length of wire needed by him if he wanted to fence both of his farms leaving 14 m space for the gate in each of the farms?
Question 8
The length and the breadth of a rectangular park are in the ratio 8 : 5 A path, 1.5m wide running all around the outside of the park has an area of 594 m2. The dimensions of the park are
Question 9
The base of a right prism is an equilateral triangle. If the lateral surface area and volume is 120 cm2, 40√3 cm3respectively then the side of base of the prism is:
Question 10
A path of uniform width runs round the inside of a rectangular field 38 m long and 32 m wide. If the path occupies 600 m^2, then the width of the path is
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Apr 2SSC & Railway
