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Lin is building a cylindrical planter with a base diameter of 15 inches. She has 5,000 cubic inches of soil to fill her planter. What is the height of the largest planter Lin can build? Use 3.14 for Л, and round to the nearest inch.

Respuesta :

calculista

Answer:

[tex]h=28\ in[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

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

we have

[tex]V=5,000\ in^3[/tex]

[tex]r=15/2=7.5\ in[/tex] ----> the radius is half the diameter

[tex]\pi =3.14[/tex]

substitute the given values

[tex]5,000=(3.14)(7.5)^{2}h[/tex]

solve for h

[tex]h=5,000/[(3.14)(7.5)^{2}][/tex]

[tex]h=28\ in[/tex]

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