The radius of the cylinder should be approximately 2.040 inches long.
<h3>How to calculate the radius of a rocket to contain a required quantity of powder</h3>
The volume required to store the powder is the sum of the volumes of the cylinder and the cone, whose expression is in this case:
204 in³ = (π/3) · r² · (4 in) + π · r² · h
204 in³ = (4/3 + h) · π · r²
204 in³ = (4/3 + 7 · r) · π · r²
204 = (4π/3) · r² + 7π · r³
7π · r³ + (4π/3) · r² - 204 = 0
The <em>positive</em> roots of the <em>cubic</em> equation are:
r ≈ 2.040 in
The radius of the cylinder should be approximately 2.040 inches long.
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Answer:
Unless I am an idiot here (think I am) it is AE s the length between A and E, so it is 8
Step-by-step explanation:
Every side of the square is 16.
A to E is half of a side of the square, not a full side.
So you divide 16 by 2, getting 8.
Hope this helps, and sorry if this seems sloppy, I am new to brainly :)
Answer:
The total surface area of the given cone is

Step-by-step explanation:
<u>Step 1</u>:-
<u>Formula:-</u>
The total surface area of cone is


........(1)
<u>Step 2:-</u>
Given slant height 
and radius of the circle (base) = 2
substituting these values in equation (1)

on simplification, we get

<u>Final answer</u> :-

The linear function with values of f(-1)=8 and f(5)=6 is f(x) =
.
What is linear function?
A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.
Here the given values are f(-1)=8 and f(5)=6.
We know that f(x)=y , Then the points are (-1,8) and (5,6).
Using slope formula ,
=> slope m= 
=> slope m = -2/6=-1/3
Now using slope formula,
=> 
=>y-8=-1/3(x+1)
=>3y-24=-x-1
=> 3y=-x+23
=> y = 
Hence the linear function is f(x) =
.
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Answer:
Correct choices: 2 and 4
Step-by-step explanation:
These two line segments have a positive slope.