The dimensions of four different cylinders are given below. Which cylinder has the greatest volume?

Cylinder1: r= 4 ft, h= 3 ft
Cylinder2: r= 2 ft, h= 5 ft
Cylinder3: r= 3 ft, h= 4 ft
Cylinder4: r= 5 ft, h= 1 ft

a) cylinder 1
b) cylinder 2
c) cylinder 3
d) cylinder 4

Question

The dimensions of four different cylinders are given below. Which cylinder has the greatest volume?

Cylinder1: r= 4 ft, h= 3 ft
Cylinder2: r= 2 ft, h= 5 ft
Cylinder3: r= 3 ft, h= 4 ft
Cylinder4: r= 5 ft, h= 1 ft

a) cylinder 1
b) cylinder 2
c) cylinder 3
d) cylinder 4

anonymous · Answer

@hartnn @ganshie8 I just need help :(

anonymous · Answer

i dont knw how to even work this type of problem out. that is the thing

hartnn · Answer

sorry, my bad 
$\Large V_{cylinder} = \pi r^2h$

anonymous · Answer

I was wondering where that came from...lol

hartnn · Answer

Cylinder1: r= 4 ft, h= 3 ft

plug in the values of r and h in this formula

anonymous · Answer

so 

Cylinder 1 /          pie  16 3 ?

anonymous · Answer

cylinder 1 :
(3.14)(16)(3) =

anonymous · Answer

thats what i just said kellie lol so now what ?

anonymous · Answer

just make it easy
dont consider pi as its the constant multiple for all
just solve for r^2h

anonymous · Answer

just multiply it ?

anonymous · Answer

uh huh

anonymous · Answer

yep

hartnn · Answer

multiply r^2 and h

anonymous · Answer

48?

hartnn · Answer

yes

now calculate that for every cylinder

hartnn · Answer

the one which has highest number, will have largest volume

anonymous · Answer

so the answer would be cylinder 1 ?

hartnn · Answer

thats correct :)

anonymous · Answer

thanks hartnn

hartnn · Answer

welcome ^_^