Karen of mandible sweets wants to build the worlds largest jawbreaker. To do this she finds that it must have a 13 inch diameter. How much candy will Karen need for one? (volume)

Karen of mandible sweets wants to build the worlds largest jawbreaker To do this she finds that it must have a 13 inch diameter How much candy will Karen need f class=

Respuesta :

You need to use the formula for calculate the volume of a sphere:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Where "r" is the radius of the sphere.

You know that the diameter of this jawbreaker must be:

[tex]d=13in[/tex]

Since the radius is half the diameter:

[tex]\begin{gathered} r=\frac{13in}{2} \\ \\ r=6.5in \end{gathered}[/tex]

Therefore, substituting this value into the formula and evaluating, you get:

[tex]\begin{gathered} V=(\frac{4}{3})(\pi)(6.5in)^3 \\ \\ V\approx1150.35in^3 \end{gathered}[/tex]

The answer is:

[tex]1150.35in^3[/tex]