As a hardworking student, plagued by too much homework, you spend all night doing math homework. By 6am, you imagine yourself to be a region bounded by
y=5x2
x=0
x=3
y=0
As you grow more and more tired, the world begins to spin around you. However, according to Newton, there is no difference between the world spinning around you, and you spinning around the world. Unfortunately, you are so tired that you think the world is the x-axis. What is the volume of the solid you (the region) create by spinning about the x-axis?

Volume of solid  = 225units³

Step-by-step explanation:

Draw the diagram

This gives a y = 15

                    x = 3

The straight line equation will be y = 5x

The volume of a pyramid is given by the following equation:

where r = radius of the base

           h= height of the cone

from the graph, roating about the x - axis gives h = 3, r = 15

Volume =

             = 225 units³

Volume of cone formed is 225 units³.

yo answer should be 6 if im not mistaken

step-by-step explanation:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )