2 Answers

Memet Olsen · Answer 1 · 2017-06-07T10:47:25+0000

the volume of B is twice that of A
if Vb=2hpir^2
and Va=hpir^2

compare
2hpir^2
hpir^2

twic as big

Volume of B is 2 times that of Volume of A

Ggfela · Answer 2 · 2017-06-09T04:05:06+0000

Answer:

$2(\text{Volume of cylinder A})= \text{Volume of cylinder B }$

Explanation:

Cylinder A:

Radius = 3 inches

Height = 6 inches

Volume =
$54\pi inches^3$

Cylinder B:

We are given that Cylinder B also has a radius of 3 inches, but the height is doubled.

Radius = 3 inches

Height =
2 * 6 =12 inches

Volume of cylinder B =
$\pi r^(2)  h$

=
$\pi (3)^(2) * 12$

=
$108 \pi inches^3$

Thus the volume of cylinder B is 108π cubic inches

Volume of Cylinder A = 54 π cubic inches

Since
$2(54\pi )=108\pi$

So, twice the volume of cylinder A = Volume of cylinder B

$2(\text{Volume of cylinder A})= \text{Volume of cylinder B }$

Hence the relationship between the volumes of the two cylinders is
$2(\text{Volume of cylinder A})= \text{Volume of cylinder B }$

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