Ashley is using a cylindrical beaker for a science project. The measurements on the beaker have worn off, so she can’t see how much liquid the beaker can hold. She knows that one cubic inch holds approximately1/2fluid ounce of water. She measures the diameter and height of the beaker to figure out how much liquid it can hold. She determines that the beaker has a height of 6.5 inches and diameter of 4 inches. About how much liquid can the beaker hold? Write your answer to the nearest tenth.

To find the volume of the cylindrical beaker, we can use the formula for the volume of a cylinder:

V
=
π
r
2
h
V=πr
2
h

where
r
r is the radius and
h
h is the height.

Given that the diameter is 4 inches, the radius (
r
r) is half of that, which is
4
/
2
=
2
4/2=2 inches.

So, the volume of the beaker is:

V
=
π
×
(
2
)
2
×
6.5
V=π×(2)
2
×6.5

V
=
π
×
4
×
6.5
V=π×4×6.5

V
=
26
π
V=26π

Using the approximation
π
≈
3.14
π≈3.14, we can find the approximate volume:

V
≈
26
×
3.14
V≈26×3.14

V
≈
81.64

cubic inches
V≈81.64cubic inches

Since 1 cubic inch holds approximately
1
/
2
1/2 fluid ounce of water, the beaker can hold approximately:

81.64
×
(
1
/
2
)
≈
40.82

fluid ounces
81.64×(1/2)≈40.82fluid ounces

So, the beaker can hold approximately 40.8 fluid ounces of liquid.