Question

A company wants to sell spherical piñatas and will use 3,000 square inches of material for each one. What will be the volume of each piñata in cubic inches? (Use 3.14 for n. Round to the nearest interger at the end of your work.)

Answer 1

`V=15441\text{ cubic inches}`

Step-by-step explanation;

The volume for a sphere is represented as:

`V=(4)/(3)\pi\cdot r^3^{}`

Given the material, use the formula for the superficial area of the sphere:

`\begin{gathered} \text{3000=}4\cdot\pi\cdot r^2 \\ \text{ } \end{gathered}`

Solve for r:

`\begin{gathered} r=\sqrt[]{(3000)/(4\pi)} \\ r=15.45 \end{gathered}`

Therefore, the volume of each sphere would be:

`\begin{gathered} V=(4)/(3)(3.14)(15.45)^3 \\ V=15441\text{ cubic inches} \end{gathered}`