Answer:
324π in²
Step-by-step explanation:
The surface area of a sphere = 4πr² ( r is the radius )
Calculate r using the volume (V) formula
V = 
πr³
Here V = 972π , thus
πr³ = 972π ( divide both sides by π )
r³ = 972 ( multiply both sides by 3 to clear the fraction )
4r³ = 2916 ( divide both sides by 4 )
r³ = 729 ( take the cube root of both sides )
r = ![\sqrt[3]{729}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729%7D)
= 9
Thus
surface area = 4π × 9² = 4π × 81 = 324π in²
Alternate interior angles theorem.
<u>Step-by-step explanation:</u>
By using the definition of Alternate Interior Angles theorem, we can say that If a transversal cuts any two parallel lines, then those pairs of alternate interior angles are seems to be congruent.
So in the given triangle,
∠4 ≅ ∠2
∠5 ≅ ∠3
Sum of all the angles in a triangle = 180°
∠1 + ∠2 + ∠3 = 180°
Since from the above congruence, we can write that
∠1 + ∠4 + ∠5 = 180°
Hence proved.
Answer :
<span>Unless we have a relationship defined between x and y there is no common factor apart from 1.
</span>
hope it helps
~Reema
