366,954 views
26 votes
26 votes
ALGEBRA 1 QUESTION PLEASE HELP!!

Solve this literal equation:
V = 4/3 x pi x r^3

(x being a multiplication symbol, not a variable)
**PLEASE SHOW STEPS TO SOLVE**

User Enesn
by
3.2k points

1 Answer

14 votes
14 votes

Answer:


\sf \pi = (3V)/(4r^3)

Step-by-step explanation:

Equation:


V = (4)/(3) \pi r^3

Task: make pie the subject.

cross multiply


\sf (3V)/(4) = \pi r^3

divide both sides by r³


\sf (3V)/(4) / r^3= \pi r^3 / r^3

simplify following


\sf (3V)/(4r^3) = \pi

Hence:


\sf \pi = (3V)/(4r^3)

User Immu
by
3.2k points