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.
r=14/2 = 7 m
h = 20m
platform (rectangular box)
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
sum of the roots S =7+sqrt(3)+7-sqrt(3)=14

product of the roots P =[
P=7^2 -[

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
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