Drag the orange points on the cylinder and the cone to change their radii and heights. (Make sure the Freeze height check boxes are not checked.) Set equal radii and heights for the cylinder and the cone, and note their respective volumes. Record the volumes for a few sets of heights and radii, and calculate the ratio of the volumes in each case. Remember, make sure the height and radius of the cone and the cylinder are the same in each pair. (You might see some discrepancies in the tool due to rounding of decimals.) Round your calculations for ratio to the hundredths place. The first one has been done for you.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

15.36 per mile

but forgot to round

i am pretty sure