Answer:
Volume of solid = 225[tex]\pi[/tex]units³
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:
[tex]v = \frac{1}{3} \pi r^{2}h[/tex]
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 = [tex]\frac{1}{3} \pi 15^{2}(3)[/tex]
= 225 [tex]\pi[/tex] units³
Volume of cone formed is 225 [tex]\pi[/tex] units³.