Answer:
The volume of a sphere is 2/3 times the volume of a similar cylinder
Scale factor : 2/3
Step-by-step explanation:
Let us consider a sphere of radius r. The volume of the sphere will be given as

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:

but h = 2r
Hence we have

We can divide the two volumes to get a constant that links them together

this will give us 2/3
Hence the scale factor for Vol sphere: Vol cylinder is 2/3
Answer:
14d + 12c -4
Step-by-step explanation:
Since O is circumscribed about quadrilateral DEFG, the value of x is equal to: D. 68°.
<h3>What is a supplementary angle?</h3>
A supplementary angle can be defined as two (2) angles or arc whose sum is always equal to 180 degrees. Mathematically, a supplementary angle can be calculated as follows:
Q + R = 180°.
In Geometry, the opposite angles of any cyclic quadrilateral that is inscribed inside a circle always form a supplementary angle. Thus, we would determine the value of x by using the mathematical expression above:
x + 112° = 180°
x = 180° - 112°
x = 68°
Read more on supplementary angle here: brainly.com/question/12542846
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