+0

# help me

0
126
1

Amber is purchasing a ring that has a 7.5 millimeter round pearl. Find the volume of the pearl to the nearest tenth.

Guest Mar 22, 2017
Sort:

#1
+4749
+2

Pearls are sphere shaped, so we will use the formula for the volume of a sphere.

$$V = \frac43\pi r^3$$

The only question is what is r? What is the radius?

Well, the pearle is 7.5 mm round. I think this means that the circumference is 7.5 mm.

And

circumference = 2* π * radius

so

7.5 mm = 2* π * radius

7.5 mm / (2π) = radius

Now we know the radius. Just plug this into the formula for the volume of a sphere.

$$V = \frac43\pi(3.75/\pi)^3 \\~\\ V = \frac{4\pi*3375}{3*\pi^3*64} \\~\\ V = \frac{1125}{16\pi^2}\approx7.124$$

hectictar  Mar 22, 2017

### 8 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details