Answer:
Volume of smaller cone =301.44
Step-by-step explanation:
First let angle of cone be
.
then
= 3/5 (For bigger triangle)
Same cone angle is for smaller one because they are similar.
= 4/5
Now for smaller cone radius be R
3/5 =R/Slant height
Slant height =5/3R
Lateral surface area =
[R = slant height]
Given lateral surface area =60
=
...................................1
................................................2

Put angle beta in equation 1 and find the value of R
R =6 cm
Height =
Thus volume =
=301.44
Z<=16+2
z-2<=16
Zina spent at most 18 dollars
we know that
The measure of the external angle is the semidifference of the arcs that it covers
so
∠MLN=(1/2)*(mayor arc MN-minor arc MN)
Let
x------> minor arc MN
major arc MN=360-x
substitute in the formula above
∠MLN=(1/2)*(mayor arc MN-minor arc MN)
75.86=(1/2)*(360-x-x)------> 151.72=(360-2x)------>360-151.72=2x
x=104.14°
therefore
the answer is
the measure of arc MN (minor arc) is 104.14°
Vertex is (4,-3) and the axis of symmetry is X=4