Question

The eggs of birds and other animals come in many different shapes and sizes. Eggs often have a shape that is nearly spherical. When this is true, you can use the formula for a sphere to find their volume. The green turtle lays eggs that are approximately spherical with an average diameter of 2.9 centimeters. Each turtle lays an average of 116 eggs at one time. Find the volume of one egg, rounding your answer to the nearest tenth of a cubic centimeter. Then find the total volume of these eggs, to the nearest tenth of a cubic centimeter.

Answer 1

To find the volume of one egg, we can use the formula for the volume of a sphere:

Volume = (4/3) * π * (radius)^3

Given that the average diameter of the green turtle eggs is 2.9 centimeters, the radius would be half of the diameter, which is 2.9/2 = 1.45 centimeters.

Plugging in the values into the formula, we get:

Volume = (4/3) * π * (1.45 cm)^3

≈ 10.088 cm^3

Rounded to the nearest tenth of a cubic centimeter, the volume of one egg is approximately 10.1 cm^3.

To find the total volume of these eggs, we need to multiply the volume of one egg by the number of eggs laid at one time, which is 116 eggs.

Total Volume = 10.1 cm^3 * 116

≈ 1171.6 cm^3

Rounded to the nearest tenth of a cubic centimeter, the total volume of these eggs is approximately 1171.6 cm^3.