the following cylinder has a volume of 55pi cubic units and a height of 5 units. the cone has the same base area and height, and it has a slant height of 6 units. what is the volume of the cone?

Question:A cone and a cylinder have the same base area. They also have the same curved surface area. If the height of the cylinder is 3m, then the slant height of the cone (in m) is

Given the radius of cylinder and cone are the same because there base areas are same.

Curved surface of cylinder = curved surface area of the cone

∴2πrh=πrl

∴l=2h

Given, height of cylinder =3 cm

Therefore, slant height of cone =6 cm

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.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8