Walter wants to make 100 candles in the shape of a cone for his new candle business. The mold
shown below will be used to make the candles. Each mold will have a height of 8 inches and a diameter
of 3 inches. To the nearest cubic inch, what will be the total volume of 100 candles?

1884.96 in^3 or 1885 in^3

Step-by-step explanation:

volume of cone =    1/3 x PI x radius^2 x height

1/3x PI x 1.5^2 x 8 = 18.85 one cone

x 100 cones = 1884.96 or 1885 in^3

∠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.