Answer:

Step-by-step explanation:
Given:
radius of cone = 3 inch
Total area of cone = 
Find the volume of the cone?
We know the area of cone =
-------(1)
Where r = radius
Ans s = side of the cone
Put the area value in equation 1
-------(1)


Put r value in above equation.



The side s = 5 inches
We know the side of the cone formula


Put r and s value in above equation.




The volume of cone is

Put r and h value in above equation.

The Volume of the cone is 
Answer:
6
Step-by-step explanation:
4+2
You don't say whether this is a right triangle or not.
Assuming it is a right triangle, then we use the Pythagorean Theorem to determine the length of the hypotenuse:
(hypo) = (length of third side) = √(12^2 + 4^2) = √(144+16) = √160 = 4√10.
This is approx. 12.65 inches. Since this does not match any of the possible answer choices, we'll have to take a different approach to answering this question.
Given that 2 sides of the given triangle are 12 and 4 inches, respectively, we see that the 3rd side has to be longer than 8 inches; otherwise we'd have three line segments on the same line, not forming a triangle.
By this reasoning, 9 inches is the only possible answer that could be correct. With sides 12, 9 and 4 inches, the triangle would be obtuse and appear quite flat, but not be part of a straight line as with a third side of 8.
Answer:
Yes
Step-by-step explanation:
After solving for the two values of a, the second inequality gives a value inside the range of the first inequality.