Question

6. You cut a styrofoam ball in half for a project. Find the surface area of each half of the styrofoam ball. (Round your answer to two decimal places.)

Answer 1

Answer: $2,412.74\ cm^2$

Step-by-step explanation:

You need to use the following formula for calculate the Total surface area of a solid hemisphere:

$SA_{total}=3\pi r^2$

Where "r" is the radius.

 Since you cut a styrofoam ball in half, the total surface areas are equal.

The exercise gives you the diameter. Observe in the figure that this is:

$d=32\ cm$

Since the radius is half the diameter, you know that:

$r=\frac{d}{2}\\\\r=\frac{32\ cm}{2}\\\\r=16\ cm$

Finally, you can substitute the radius into the formula:

 $SA_{total}=3\pi (16\ cm)^2=2,412.74\ cm^2$ (Of each half of the styrofoam ball)