[|] Answer [|]
<u><em>X = 5</em></u>
[|] Explanation [|]
Subtract 5 From Both Sides:
X + 5 - 5 = 2x - 5
Simplify:
X = 2x - 5
Subtract 2x From Both Sides:
X = 2x - 2x - 5 - 2x
Simplify:
-x = -5
Divide Both Sides by -1:
-x/-1 = -5/-1
Simplify:
X = 5
<u><em></em></u>
An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.
We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.
This differential volume that the dome is increased is equal to the volume of the coat of paint.
The volume of the dome can be written as:
Now, we can calculate dV as:
Answer: the paint needed for this coat is approximately 7.92 m^3
