Answer:
About 2.86 inches
Step-by-step explanation:
The formula for the volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]. Plugging the known numbers into this formula, you get:
[tex]75=\pi \cdot 5^2\cdot \frac{h}{3}[/tex]
[tex]\frac{h}{3}\approx 0.955[/tex]
[tex]h\approx 2.86[/tex] inches. Hope this helps!
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,
[tex]\rm v = \pi r^2\dfrac{h}{3}[/tex]
Then,
The height of the party hat is,
[tex]\rm v = \pi r^2\dfrac{h}{3}\\\\75 = \pi\times (5)^2 \times \dfrac{h}{3}\\\\75 = 25 \times \dfrac{22}{7} \times \dfrac{h}{3}\\\\75 = 25 \times 1.14 \times h\\\\75 = 28.5 \times h\\\\h = \dfrac{75}{28.5}\\\\h =2.63[/tex]
Hence, The height of the party hat is 2.63 inches.
For more details refer to the link given below.
https://brainly.com/question/743546
