What is the volume of a sphere with a radius of 18 units? O A. 77767 units3
B. 12967 units3
O C. 58327 units3
D. 1944 units

24,429.0245 square units

Step-by-step explanation:

The volume of a sphere can be found using the following formula.

The radius is 18 units. Therefore, we can substitute 18 units in for r.

First, evaluate the exponents.

18 units^3= 18 units * 18 units * 18 units= 5832 units^3

Multiply 4 and pi.

Multiply in the numerator.

Divide

The volume of the sphere is 24,429.0245 units^3

the answer is d. 75%

∠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.