What is the volume of a cylinder with base radius 2 and height 6?
1 answer:
Answer:
Volume of cylinder = <em>24</em> or <em>75.36</em> <em>cubic units
</em>
Step-by-step explanation:
We are given the following details about the cylinder:
Radius of Base, r = <em>2 units</em>
Height of Cylinder, h = <em>6 units </em>
Please refer to the figure attached for knowing the structural details of a cylinder.
The attached image shows how a cylinder looks like and the <em>radius </em>and <em>height </em>of the cylinder are also represented and labeled.
Radius of base of cylinder is shown as 'r'. The <em>base </em>circle and <em>top </em>circle are equal in size.
Height of cylinder is shown as 'h'.
The <em>volume </em>of a cylinder is formulated as:
Putting value of as <em>3.14</em>:
Volume = <em>75.36 cubic units</em>
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Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB =AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.