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 ca…

Question

asked May 23, 2021 45.4k views

1 Answer

Benoit Garret · Answer 1 · 2021-05-29T08:26:24+0000

Answer:

$h=28\ in$

Explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^(2)h$

we have

$V=5,000\ in^3$

$r=15/2=7.5\ in$ ----> the radius is half the diameter

$\pi =3.14$

substitute the given values

5,000=(3.14)(7.5)^(2)h

solve for h

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

$h=28\ in$