The volume, V, in cubic units, of a cylinder is given by V = πr^2 h , where r is the radius and h is the height, both in the same units. Find the exact radius of a cylinder with a height of 18 cm and a volume of 144p cm3. Express your answer in simplest?

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Answer 1 · 2018-02-19T08:53:48

#r=2sqrt(2)#

We know that #V=hpir^2# and we know that #V=144pi#, and #h=18#

#144pi=18pir^2#

#144=18r^2#

#r^2=144/18=8#

#r=sqrt(8)=sqrt(4*2)=sqrt(4)sqrt(2)=2sqrt(2)#