Answer:

Step-by-step explanation:
The volume of cone is given by:

where
is the radius of the base and
is the height of the cone.
We need to solve for 
we have 
Multiplying both sides by 3 to remove 
⇒ 
⇒ 
dividing both sides by 
⇒ 
⇒ 
Taking square root both sides:
⇒ 
⇒ 
∴ 
The equation for the area of a triangle is A= b*h /2. So, plug in your known variables, and you get 270in^2= b*30 /2. First you multiply by 2 to cancel out the division for 2, which gets you 540= b* 30. To get "b" by itself, divide both sides by 30, giving you <u>18=b</u>.
To check this, plug in your new known variable, as 270= 18* 30 /2. This will equal as 270=270, confirming 18in as the correct measurement.
Use the slope-intercept y=mx+b to find slope
Slope=m
M=3