Question

A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 4.5 cm. If silver is priced at $5.00 per cm3", how much will the silver cost to make one solid sphere?

Use 3.14 for , and do not round your answer.

Answer 1

The formula for the volume of a sphere is V = 4/3 * pi * r^3, where r is the radius of the sphere. Plugging in the given radius, we get V = 4/3 * 3.14 * (4.5 cm)^3 = 381.7 cubic centimeters.

To find the cost of the silver needed to make one sphere, we can multiply the volume of the sphere by the price of silver per cubic centimeter:

381.7 cubic centimeters * $5.00/cubic centimeter = $1908.50

Therefore, the silver needed to make one sphere would cost $1908.50.

Answer 2

The silver will cost $1908.5125 to make one solid sphere

Explanation:

The formula for the volume of a sphere is:

V = (4/3)πr^3

where r is the radius of the sphere.

Substituting the given value for the radius:

V = (4/3)π(4.5 cm)^3

= (4/3)(3.14)(91.125 cm^3)

= 381.7025 cm^3

The cost of the silver can be calculated by multiplying the volume by the cost per cm^3:

Cost = 381.7025 cm^3 × $5.00/cm^3

= $1908.5125