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tresset_1 [31]
3 years ago
5

A cylindrical basin is 2 feet tall and has a diameter of 5 feet, as shown. If the basin is completely filled with water, how muc

h water will it hold? Round the answer to the nearest tenth of a foot.
Mathematics
2 answers:
jarptica [38.1K]3 years ago
5 0

Answer:

39.3 ft^3

Step-by-step explanation:

The cylindrical basin has a height of 2 ft and a diameter of 5 ft.

To find the amount of water that will completely fill up the basin, we simply need to find the volume of the basin.

The volume of a cylinder is given as:

V = \pi r^2h

where r = radius of the basin (half the diameter) = 2.5 ft

h = height of the basin

Hence, the volume is:

V = \pi * 2.5^2 * 2

V = 39.27 ft^3 ≅ 39.3 ft^3

The cylindrical basin can hold up to 39.3 ft^3 of water.

matrenka [14]3 years ago
3 0

Answer:

39.3

Step-by-step explanation:

got it right on edge

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Answer:   \bold{\dfrac{11}{18}}

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Kaylis [27]

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}:It is the area of the base of the prism

h: It is the height

A_ {b} = w * l

Where:

w: is the width

l: is the length

According to the data of the statement we have:

w = 16 \ in\\l = 4h\\V = 4,096 \ in ^ 3

Substituting the data we have:

A_ {b} = 16 * 4h = 64h\\64h * h = 4,096\\64h ^ 2 = 4,096\\h ^ 2 = \frac {4096} {64}\\h ^ 2 = 64\\h = \pm \sqrt {64}\\

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So the height is8 \ in

Answer:

8 \ in

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