4) The DIAMETER of a sphere is doubled. What is the new volume of the sphere?
A) 83πr3 B) 163πr3 C) 323πr3 D) 643
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OpenStudy (amistre64):
what is the usual formula for the volume of a sphere?
OpenStudy (anonymous):
We need the original volume or diameter.
OpenStudy (anonymous):
thats what im trying to see
OpenStudy (amistre64):
dont need the original stuff; just let r = d/2 in the usual formula
then let d = 4d
OpenStudy (amistre64):
pfft, d = 2d :)
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OpenStudy (amistre64):
so, since r = d/2, and twice d is 2d
the new r is simply, r = 2d/2 = d = (2r)
OpenStudy (amistre64):
i recall the r being cubed in the usual format soo, (2r)^3 = ?
OpenStudy (anonymous):
the answer is b
OpenStudy (amistre64):
i do not believe it is b, what is your reasoning?
OpenStudy (anonymous):
sa=4pi r2
=4pi(2r)^2
4pi time 4r2
16pi r2
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OpenStudy (amistre64):
volume is not surface area
OpenStudy (anonymous):
its easy we lookin for the surface area
OpenStudy (anonymous):
not volume
OpenStudy (amistre64):
your surface area equation is rather nice tho :) but we should do that for volume of a sphere ... then your post was incorrect when it asked for volume?