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ch4aika [34]
2 years ago
7

12 guests are coming to my party. They each get 4/5 cup of juice. How many cups of juice do I need to purchase

Mathematics
2 answers:
Rama09 [41]2 years ago
6 0
9.6 cups - 4/5 • 12 = 8/10 • 12 = 0.8 • 12 = 9.6
dusya [7]2 years ago
3 0
You would need to purchase 10 cups of juice
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Volume of cylinders, spheres, and cones word problems
DerKrebs [107]
The problem is asking for the height of the fluid using the following information:

Volume of fluid
=
V
=
36
π
cm
3
Radius of new cylinder
=
r
=
3
cm


To start the solution, solve for the height
h
in the formula for the volume of a cylinder:

V
=
π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h
=
V
π
r
2
V =π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h =
V
π
r
2


Substituting the values of the volume and the radius, the height of the fluid is:

h
=
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=
4
π
cm
=
12.5663706144
≈
12.6
cm
h =
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=4π cm =12.5663706144≈12.6 cm

Thus, the fluid reaches up to
12.6
cm
12.6
cm
in the new cylinder.
6 0
2 years ago
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