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1 answer:
Answer:
h = 21.5cm.
Step-by-step explanation:
<em>Step one:</em> Simplify the volume.
220.16 x (pi) = 691.65cm^3.
<em>Step two:</em> Isolate h.
Cylinder volume equation: V = (pi)(r^2)(h), where r is the radius and h is the height.
Divide out the pi and r^2 on both sides to isolate h and move the equation to V/(pi)(r^2) = h.
<em>Step three:</em> Solve for h.
691.65/(pi)(3.2^2) = 21.5cm rounded to the nearest tenths place.
To illustrate this, please check the diagram below.
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Answer: 4,111.7 mm³
Step-by-step explanation:
You need to use this formula to calculate the volume of the square pyramid:
Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.
Find the height with the Pythagorean Theorem:
Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.
You can identify in the figure that:
Then, you can find the height:
Then, knowing that:
You can calculate the volume: