Question 1180711: the surface of a basketball is 576π cm². How far does this basketball travel if it makes 4 complete rolls? Found 3 solutions by mananth, MathTherapy, ikleyn:Answer by mananth(16946) (Show Source):
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the surface of a basketball is 576π cm². How far does this basketball travel if it makes 4 complete rolls?
it will travel 4 times the perimeter around the diameter
area = 576pi = 4pi r^2
576/4 =r^2
144 =r^2
r = 12 ie the radius
diameter =12
Circumference = pi * d
12 pi
4 rolls
48 pi cm is the distance it travels
Below you see my CORRECTED version of the solution by @mananth.
Thanks to tutor @MathTherapy, who detected and noticed an error in the solution by @mananth.
The surface of a basketball is 576π cm². How far does this basketball travel if it makes 4 complete rolls?
it will travel 4 times the circumference
area = 576pi = 4pi r^2
576/4 =r^2
144 =r^2
r = 12 the radius
diameter =24
Circumference = pi * d
24 pi
4 rolls
96 pi cm is the distance it travels.
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