Question

How to find the volume of the cone

Answer 1

Answer:

The closest measurement to the volume of hat is 84.82 in.³.

Step-by-step explanation:

Given:

The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.

Now, to find the volume of cone:

Putting the formula $\frac{1}{3}\pi r^{2}h$.

Radius(r) is not given, finding the radius:

Radius(r)=half of the diameter(d)

$r=\frac{d}{2}$

$r=\frac{6}{2}$

$r=3$.

Then, $\frac{1}{3}\pi r^{2}h$

=$\frac{1}{3}\times\pi \times3^{2}\times9$

=$\frac{1}{3}\times3.14\times9\times9$ ($\pi =3.14$)

=$\frac{1}{3} \times254.34$

=$\frac{254.34}{3}$

=$84.78$ in.³

So, the volume is 84.78 in.³ .

Therefore, the closest measurement to the volume of hat is 84.82 in.³.