find the radius and area of a sphere with volume 288 times pi. (without multiplying out pi)

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(2) Answers

Jayda

ok so
V=(4/3)pi(r^3)
V=288pi
therefor
288pi=(4/3)(pi)(r^3)
divide both sides by pi
288=(4/3)(r^3)
multiplyboth sides by 3/4 (4/3 times 3/4=12/12=1 and 1 times r^3=r^3)
864/4=r^3
216=r^3
cube root both sides
6=r
radius=6 units
area=4pir^2
area=4pi6^2
area=4pi36
area=144pi
radius=6units
area=144pi square units