Answer:
The volume of cone = 5.369 inches³
Step-by-step explanation:
Given as :
The curved surface area of cylinder = 45 inches²
The height of cylinder = 10 inches
Now, curved surface area of cylinder = 2 × × r × h
where r is radius
and h is height
So , 2 × × r × h = 45 inches²
So, r =
Now, Cone have same base are and height
Let The volume of cone = v
Since The volume of cone = ××r²×h
So, The volume of cone = × × ()² × 10
Or, The volume of cone =
The volume of cone = 5.369 inches³ Answer
Answer:
B. V-Vo/t
Step-by-step explanation:
All you have to do is redistribute the equation
If BD is a bisector, then angles 1 and 2 are equal. Since they’re the only two angles within 56/2 = 28
Answer:
<h2>y = 242.4 ft</h2>
Step-by-step explanation:
Look at the picture.
Use sine:
We have a measure of the angle and length of the hypotenuse:
Substitute:
<em>multiply both sides by 500</em>
<h3>Answer:</h3>
15.56 inches
<h3>Explanation:</h3>
Let L represent the leg length. Then the Pythagorean theorem tells you ...
... 22² = L² + L² . . . . the square of the hypotenuse is the sum of the squares of the other two sides
... 484 = 2L² . . . . . . . simplify
... 242 = L² . . . . . . . . divide by 2; next, take the square root
... √242 = L ≈ 15.56 . . . . inches
_____
<em>Comment on this problem in general</em>
For a hypotenuse of length H, the above equation becomes ...
... H² = L² +L² = 2L²
... H²/2 = L² . . . . . divide by 2
... H/√2 = L . . . . . take the square root (<em>general solution for isosceles right triangles</em>)
For your problem, this is ...
... (22 in)/1.414214 = L = 15.556 in