Please help with this geometry question too.

V = 1250π/3 mm³

V = 1309 mm³

Step-by-step explanation:

The composite figure is made up of a cylinder with radius 5 mm and two hemispheres of radius 5 mm. The height of the cylinder is

20 mm - 5 mm - 5 mm = 10 mm

The two hemispheres make up a full sphere of radius 5 mm.

V = πr²h + (4/3)πr³

V = π(5 mm)²(10 mm) + (4/3)π(5 mm)³

V = [(25 mm²)(10 mm) + (4/3)(125 mm)³]π

V = [250 mm³ + 500/3 mm³]π

V = 1250π/3 mm³

V = 1309 mm³

∠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.

there is no grid

step-by-step explanation: