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Mumz [18]
3 years ago
14

Find the surface area of a sphere that has a volume of 288 cu. in. 48 144 20,736

Mathematics
1 answer:
Liula [17]3 years ago
6 0
V=(4/3)pir^3
SA=4pir^2

so

V=288=(4/3)pir^3
times both sides by 3/4
216=pir^3
divide both sides by pi
216/pi=r^3
cube root both sides
6/(∛pi)=r

sub into other
sa=4pir^2
sa=4pi(6/(∛pi))^2
SA=4pi(36/(∛(pi²)))
SA=144pi/(∛(pi²))
SA=144pi∛pi/pi
SA=144∛pi
SA≈210.901 in²
not sure what option that's supposed to be
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