Time Left - 15:00 mins

CDS ll Mathematics ll Mensuration ll 13-01-2019

Attempt now to get your rank among 218 students!

Question 1

What is the area of the largest possible triangle inscribed in a semicircle of radius ?

Question 2

A 20 meters pipeline is being used to drain the water from a tank of capacity 5544 liters. The thickness of pipe is 1 cm, while its outer radius is 8 cm. The pipe can drain the water equal to half of its inner volume in 2 seconds. How long it will take to drain all the water.

Question 3

Two cones have their heights in the ratio 1 : 3. If the radii of their bases are in the ratio 3 : 1, then the ratio of their volumes will be

Question 4

In the figure given below, the diameter of bigger semicircle is 108 cm. What is the area of the shaded region?

Question 5

If wheel of a cart revolves 490 time in a journey of 2 km. The diameter of wheel is:

Question 6

The surface area of a sphere is 616 square cm. If its radius is changed so that the area gets reduced by 75%, then the radius becomes

Question 7

What is the number of wax balls, each of radius 1 cm, that can be molded out of a sphere of radius 8 cm?

Question 8

A sphere is inscribed in a cubical box such that the sphere is tangent to all six faces of the box. What is the ratio of the volume of the cubical box to the volume of sphere?

Question 9

A cylinder tank 7 m in diameter, contains water to a depth of 4 m. What is the total area of wetted surface?

Question 10

Three spheres of metal whose radii are 3 cm, 4 cm and 5 cm respectively are melted to form a large sphere. Find the surface are of newly formed sphere.
  • 218 attempts
  • 1 upvote
  • 0 comments
Jan 19CDS & Defence