topmath.in

mensuration


--------------------------------------------------------------------

---------------------------------------------------------------------





 

---------------------------------------------------------------------
mensuration

A cylindrical shaped well of depth 20 m and diameter
14m is dug. The dug out soil is evenly spread  to form
a cuboid platform with base dimension 20m x14m. Find
the height of the platform.
Cylinder(well)
r=14/2 = 7 m
h = 20m
platform (rectangular box)
L=20m
B=14m
H= ?
Volume of platform = volume of cylinder
L * B * H = pi *[r^2]*h

H = {
pi *[r^2]*h } / {L*B}

H= { (22/7)*7*7*20 } / { 20 * 14 } = 11m


 --------------
problem 2
form a quadratic equation whose roots are
7+sqrt(3) and
7+sqrt(3)
sum of the roots S =7+sqrt(3)+7-sqrt(3)=14

 
product of the roots P =[
7+sqrt(3)][7+sqrt(3)]
P=7^2 -[
sqrt(3)]^2=49-3=46

required quadratic equation is


(x^2) -Sx+P=0
(x^2) -14x + 46=0

other questions and problems:


*integral calculus integration formula





----------------------------------------------------------------------------------------------
trigonometric identity and ratio of  certain standard angles

*list of differentiation formula     *integral calculus integration formula
---------------------------------------------------------------------------------------
*HOME PAGE   * mathematical formulae  * Indices, surds and some identities:   * Quadratic equations  * Progression  *Analytical Geometry * Trigonometry formula
  *Laplace Transform Inverse laplace transform *Vector
---------------------------------------------

---------------------------------------------

* Complex Number  *Hyperbolic function
disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work. Also some of the companies which are displaying
advertisements may install cookies on your computer and may be tracking your browsing habits.