Asked by Bk
The volume of a sphere is given by V=4*r^3/3, where r is the radius,compute the radius of a sphere having a volume 40 percent greater than that of a sphere of radius 4 ft?
Answers
Answered by
Reiny
Volume at r = 4
= (4/3)π 4^3
= 256π/3 = appr 268.08...
that increased by 40% ----> 256π/3 * 1.4
= 256π/3(14/10)
= 3584π/30 = appr 375.32
then 3584π/30 = (4/3)π r^3
(3584/30)(3/4) = r^3
r^3 = 89.6
r = appr 4.47 ft
= (4/3)π 4^3
= 256π/3 = appr 268.08...
that increased by 40% ----> 256π/3 * 1.4
= 256π/3(14/10)
= 3584π/30 = appr 375.32
then 3584π/30 = (4/3)π r^3
(3584/30)(3/4) = r^3
r^3 = 89.6
r = appr 4.47 ft
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