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
<em><u>Question:</u></em>
Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?
1s
2s
3s
4s
<em><u>Answer:</u></em>
It takes 2 seconds for object to hit the ground
<em><u>Solution:</u></em>
<em><u>The given equation is:</u></em>

Initial velocity = 27 feet/sec

Therefore,

At the point the object hits the ground, h(t) = 0

Solve by quadratic formula,

Ignore, negative value
Thus, it takes 2 seconds for object to hit the ground
So, you can do this one of two ways.
The first is knowing what the numbers in your equation represent:
For example: y=mx+b in this case "b" is 9. b is the y-value when x=0. So the first point on our graph is (0,9). Next we have to pick an xvalue to solve for another y-coordinate.
I chose x= -3. Plug x into the equation to get y.
y=3x+9
y=3(-3)+9
y=(-9)+9
y=0
So, our second point is (-3,0).
connect the points with a ruler to graph the line.
The answer is 221 I did the work