Question

S = 1/9 π u³ (a-7), solve for a

A) a = (9/sπu³) + 7
B) a = (u³/sπ) + 7
C) a = 7 - (9/sπu³)
D) a = 7 + (9/sπu³)

Answer 1

To solve for a, isolate it in the equation s = (1/9)πu³(a-7) by multiplying both sides by 9, dividing both sides by πu³, and adding 7 to both sides. The solution for a is a = (9s)/(πu³) + 7.

Step-by-step explanation:

To solve for a, we need to isolate it in the equation s = (1/9)πu³(a-7).

Step 1: Multiply both sides of the equation by 9 to remove the fraction: 9s = πu³(a-7).

Step 2: Divide both sides of the equation by πu³: (9s) / (πu³) = a-7.

Step 3: Add 7 to both sides of the equation: (9s) / (πu³) + 7 = a.

Therefore, the solution for a is a = (9s)/(πu³) + 7, which corresponds to option A.