The formula for the volume of a cone is $V= 1/3 pi r^2h$ with $pi =3.14$ . How do you find the radius, to the nearest hundredth, of a cone with a height of 5 in. and a volume of $20" in"^3$ ?

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Answer 1 · 2017-03-14T07:26:04

$h~~1.95" inch (2dp)."$

$V=1/3pir^2h rArr r^2=(3V)/(pih) rArr r=sqrt{(3V)/(pih)}.$

With, $V=20 and h=5, r=sqrt[{(3)(20)}/(5pi)}=sqrt(12/pi)$

$=sqrt(3.8197)~~1.95" inch (2dp)."$

The formula for the volume of a cone is V= 1/3 pi r^2hV= 1/3 pi r^2h with pi =3.14pi =3.14 . How do you find the radius, to the nearest hundredth, of a cone with a height of 5 in. and a volume of 20" in"^320" in"^3?