A party hat has a volume of 75 cubic inches . If the radius is 5 inches , what is the height of the party hat?

The height of the party hat is 2.63 inches.

Given that,

A party hat has a volume of 75 cubic inches.

If the radius is 5 inches,

We have to determine,

What is the height of the party hat?

According to the question,

A party hat has a volume of 75 cubic inches.

If the radius is 5 inches,

The volume of the cone is determined by the formula,

Then,

The height of the party hat is,

Hence, The height of the party hat is 2.63 inches.

For more details refer to the link given below.

link

About 2.86 inches

Step-by-step explanation:

The formula for the volume of a cone is . Plugging the known numbers into this formula, you get:

inches. Hope this helps!

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584