The volume of a cylinder is #540##pi# #ft^3#. The height is #15# #ft#. What is the diameter of the cylinder?

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Answer 1 · 2017-04-25T07:19:46

#12ft#

the volume of a cylinder is given by

#V_(cyl)=pir^2h#

#r="radius ",h="height "#

In this case

#540pi=pir^2xx15#

#540cancel(pi)=15cancel(pi)r^2#

#r^2=sqrt(540/15)=sqrt36#

#:.r=6 ft#

diameter#" "=2xx6=12 ft#