A well with 14 m inside diameter is dug 8 m deep. The earth taken out of it has been evenly spread all around it to a width of 21 m to form an embankment. Find the height of the embankment.
Let's d1=inside dia.of well =14m h1=depth of well =8m d2= outside dia. of earth spread (embankment) =21m h2= height of embankment V1= pi/4(d1)^2h1 V1= pi/4(14)^2*8=392pi.........(i) V2=pi/4[(d2^)2-(d1)^2]h2 V2=pi/4[(21)^2-(14)^2]h2 V2=(245/4)pih2.............................(ii) (i)=(ii)…....…..................... V1=V2 392pi=(245/4)pi h2 h2=6.4m Ans:Height of embankment is 6.4m
A paper is in the form of a square of side 20 m. Semi-circular are drawn inside the square paper on two opposite sides as diameter. If semi-circular portions are cut off. then what would be the area of the remaining paper?
A circle is inscribed inside a trapezium ABCD such that it touches all 4 sides of this trapezium.
Given that the area of this trapezium is 4 and the diameter of the circle is 1, find the value of the ratio AB/CD.
A 3-letter word has been taken out of each of the following words. The letters may not be adjacent, but they are in order. Can you figure it out?
_ _ RB _ E RE _ _ _ E _ _ R _ IC CON _ E _ _
A 3-letter-word has been taken out of each of the following words. Can you figure it out?
