The cylinder shown has a radius of 3 inches. The height is 3 times the radius. Find the volume of the cylinder. Round your solution to the nearest tenth

The volume of the cylinder is 254.5 inches cubed.

Step-by-step explanation:

In order to find the volume, start with the formula for a cylinder, which is V= r^2h.

Then, plug the radius and the height into the formula. Since the height is 3 times the radius, the final height will be 9. The formula should now look like V= (3)^2(9).

The final answer will then be 254.5 inches cubed.

20

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.