To solve this problem you must apply the proccedure shown below:
1. You must use the formula for calculate the surface area and the volume of the tank:
2. Solve for in the second equation and substitute it into the first one.Then, you have:
3. Now, derivate:
4. When you solve for , you obtain:
5. Now, you must calculate :
Therefore, the dimensions are:
The sides of the base of the tank:
The height of the tank:
Answer:
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Step-by-step explanation:
For this case we must simplify the following expression:
By definition of the law of multiplication signs we have to:
So, rewriting the expression we have:
Thus, the answer in decimal form is 1.15.
Answer:
Answer:
Step-by-step explanation:
Volumes of two spheres A and B = 648 cm³ and 1029 cm³
Things to remember:
1). Scale factor of two objects = [ and are the radii of two circles]
2). Area scale factor =
3). Volume scale factor =
Volume scale factor Or Volume ratio =
Therefore, scale factor =
≈ 6 : 7
Area scale factor Or area ratio =
=
≈ 36 : 49
Volume scale factor or Volume ratio =
=
≈ 216 : 343