Question

to celebrate valentines day, a student decided to make decorative red and pink glitter balls to hang around the house. how much glitter would fit inside a ball that has a radius of 2 inches?
16.24 cubic inches
22.14 cubic inches
29.65 cubic inches
33.49 cubic inches

Explanation:

Step1: Recall sphere volume formula

The volume $V$ of a sphere is given by $V = \frac{4}{3}\pi r^3$, where $r$ is the radius.

Step2: Substitute radius $r=2$ inches

$V = \frac{4}{3}\pi (2)^3$

Step3: Calculate the value

First compute $2^3=8$, then $V = \frac{4}{3}\pi \times 8 = \frac{32}{3}\pi \approx \frac{32}{3} \times 3.1416 \approx 33.49$

Answer:

33.49 cubic inches