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A bird feeder is in the shape of a cylinder. It has a volume of about 100 cubic inches. It has a radius of 2 inches. What is the approximate height of the bird feeder? Use 3.14 for pi. Math item stem image CLEAR CHECK 4 inches 8 inches 12 inches 79 inches

Respuesta :

meenaelabd1234
8 inches because 3.14*2^2*8=100.48 which is rounded to 100
calculista

Answer:

The approximate height of the bird feeder is [tex]8\ in[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

In this problem we have

[tex]V=100\ in^{3}[/tex]

[tex]r=2\ in[/tex]

substitute and solve for h

[tex]100=(3.14)(2^{2})h[/tex]

[tex]100=12.56h[/tex]

[tex]h=100/12.56=7.96=8\ in[/tex]

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