Q:

The green turtle lays eggs that are approximately spherical with an average diameter of 4.5 centimeters. each turtle lays an average of 113 eggs at one time. find the total volume of these eggs, to the nearest cubic centimeter.

Accepted Solution

A:
We will see that the total volume, rounded to the nearest cubic centimeter, is 3,031 cm^3.How to find the volume of the eggs?Here you need to remember that the volume of a sphere of radius R is:[tex]V = \frac{4}{3}\pi R^3[/tex]Where Β Ο€ = 3.14In this case, we know that the diameter is 4.5 cm, and the diameter is twice the radius, so the radius is:R = 4.5cm/2 = 2.25cmIf we replace that in the volume equation, and we also take into account that there are 113 of these eggs, we will see that the total volume is:[tex]Volume = 113*V = 113*( \frac{4}{3}*3.14* (2.25cm)^3) = 3,031 cm^3[/tex]Where we rounded the final outcome to the nearest cubic centimeter.If you want to learn more about spheres, you can read: