Jerry, Skyler and Kyle were measuring the tank (cylinder) for storing water tower on the hill. Working together Jerry and Skyler determine the circumference was approximately 295.3 feet. Kyle measured the height to be about 40 feet. What is the potential
volume of the tank? (Round to the nearest tenth)

Answer?

277 591.1 ft³

Step-by-step explanation:

First, use the formula for circumference to solve for the diameter.

Circumference = πd

295.3 = πd

295.3/π = d

94 ft = d

Then, divide the diameter by 2 to find the radius.

r = d/2

r = 94/2

r = 47 ft

Now, use the value of the radius with the given height in the formula for volume of a cylinder.

V = πr²h

V = π(47²)(40)

V = 277 591.1 ft³

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

∠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.