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 5.1 centimeters.
Each turtle lays an average of 112 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.
The total volume of the eggs is about
cm³.

Answer 1

The volume of one egg can be found using the formula for the volume of a sphere:

V = (4/3)πr^3

where r is the radius of the sphere, which is half the diameter.

The average diameter of the green turtle's eggs is 5.1 cm, so the radius is:

r = 5.1/2 = 2.55 cm

Substituting this value into the formula gives:

V = (4/3)π(2.55)^3 ≈ 71.3 cm³

Therefore, the volume of one egg is about 71.3 cubic centimeters.

To find the total volume of 112 eggs, we can multiply the volume of one egg by the number of eggs:

112 × 71.3 ≈ 7995.6 cm³

Rounding this value to the nearest tenth gives:

The total volume of the eggs is about 7995.6 cm³.