Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y=x^2,  x=y^2 about y = - 6.

13.5

Step-by-step explanation:

We are given that two curves and a line

about y=-6

Height=

Radius=y-(-6)=y+6

Now, we find intersecting points of two curves

Now, volume generated by rotating the region by using cylindrical shell method is given by

Using the formula

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation:

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.