<span>The formula for the volume of a cylinder is V=πr²h. The volume of a cylinder is three times the volume of a cone with the same radius and height.
Now, volume of cone is 1/3</span>πh
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If the volume of a cone with the same height as a cylinder equals the volume of a cylinder, the equation for the radius of cone in terms of the radius of cylinder R, is equal to 3R.
We get this by equating the volume of cone and cylinder:
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I find that the easiest way of doing this...and its not finding the common denominator....is changing everything to decimals.
5/6 = 0.83
4/5 = 0.8
0.82
least to greatest : 4/5, 0.82, 5/6
Answer:
Supplementary Angles
Step-by-step explanation:
Answer:
Claim 2
Step-by-step explanation:
The Inscribed Angle Theorem* tells you ...
... ∠RPQ = 1/2·∠ROQ
The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.
... 2·∠RPQ = ∠ROQ
The symmetric property of equality says you can rearrange this to ...
... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ
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* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.
You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.
<em>π</em> ≈ 3.14 > 2, so the second piece is the relevant one: