A food company makes regular and tall soup cans. The area of the base of both cans is #5# #cm^2#. The volume of the regular can is #40# #cm^3#. The tall can is #2# #cm# taller. What is the volume of the tall soup can?

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Answer 1 · 2016-08-13T15:06:10

#=50cm^3#

Volume of a Cylinder #V=pir^2h#
Where #r=radius and h = height# of the Cylinder

So we have for regular can area of base#=pir^2=5 and volume = 40#

or
#pir^2h=40#

or

#5h=40#
or
#h=40/5#
or
#h=8 cm#
So height of the regular can #=h=8cm#

Now given that height of the taller can#=H=8+2=10cm#
Therefore; Volume of the taller can
#=pir^2H#

#=5times10#

#=50cm^3#