Question

Molly wishes to make a lawn ornament in the form of a solid sphere. The clay being used to make the sphere weighs 0.075 pound per cubic inch. If the sphere's diameter is 8 inches, what is the weight of the sphere, to the nearest pound? *

Answer 1

The weigth of the sphere is approximately 161 pounds.

Explanation:

In order to calculate the weigth of the sphere we first need to calculate it's volume, since it's a sphere it's volume is given by the following formula:

volume = (4/3)*pi*r³

volume = (4/3)*pi*(8)³ = 2144.6605 inches³

Since it weigths 0.075 pound per cubic inch, we must multiply the volume by that number in order to know it's total weigh.

weigth = volume*0.075

weigth = 2144.6605*0.075 = 160.8495375

The weigth of the sphere is approximately 161 pounds.