In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
cylinders
h = 9 in
radius = r (in )
V = volume (in ³ )
Step 02:
a.
volume of a cylinder:
V = π r ² h
radius = 1 in
V1 = π (1 in)² * 9 in = 9 π in³
radius = 2 in
V1 = π (2 in)² * 9 in = 36 π in³
radius = 3 in
V1 = π (3 in)² * 9 in = 243 π in³
Table
radius Volume
row 1 1 9 π
row 2 2 36 π
row 3 3 243 π
Step 03:
b. Is there a linear relationship between the radius and the volume of these cylinders?
Yes, because the greater the radius, the greater the volume.
Step 04:
c.
cylinder pitcher:
h = 9 in
r = r
V = π r ² h
Vcp = π r ² 9 in = 9 π r ² in ³
cylinder:
h = 9 in
r = 2r
V = π r ² h
Vc = π (2r) ² 9 in = 36 π r ² in ³
# pitchers = Vc / Vcp
= 36 π r ² in ³ / 9 π r ² in ³
= 4
It can fill 4 pitchers
That is the full solution.