The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14.
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OpenStudy (anonymous):
@mathmath333
OpenStudy (anonymous):
@ganeshie8
OpenStudy (anonymous):
@Rushwr
OpenStudy (rushwr):
\[V= \Pi r ^{3}\frac{ h }{ 3 }\]
OpenStudy (rushwr):
This is the volume of the cone . We just have to substitute the numbers here !
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OpenStudy (anonymous):
ok!
OpenStudy (welshfella):
Volume of a cone = (1/3) pi r^2 h
where r = radius and h = height
so plug in the given values
62.8 = (1/3) * 3.14 * r^2 * 15
solve for r
OpenStudy (rushwr):
Since they have asked us the radius in inches no need to convert the height and the radius in to meters.
OpenStudy (welshfella):
@Rushwr - is that a typo ? r^2 not r^3
OpenStudy (anonymous):
ok i get it just trying to figure it out
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OpenStudy (rushwr):
oh pellet sorry
OpenStudy (rushwr):
human error kid ! it is r^2
OpenStudy (rushwr):
Sorry abwt tht! I actually thought I typd 2
OpenStudy (welshfella):
don't worry we all do it sometimes...
OpenStudy (rushwr):
So at the end the answer would be 2 inches !
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