Question

the gift shop at a science museum sells lollipops that are made to look like the planets. each lollipop is shaped like a sphere and has a radius of 12 mm. what is the volume of each lollipop? either enter an exact answer in terms of π or use 3.14 for π. mm³

Explanation:

Step1: Recall sphere volume formula

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

Step2: Substitute radius $r=12$ mm

$V = \frac{4}{3}\pi (12)^3$

Step3: Calculate $12^3$

$12^3 = 1728$

Step4: Compute exact volume

$V = \frac{4}{3}\pi \times 1728 = 2304\pi$

Step5: Compute approximate volume (using $\pi=3.14$)

$V = 2304 \times 3.14 = 7234.56$

Answer:

Exact answer: $2304\pi$ $\text{mm}^3$
Approximate answer: $7234.56$ $\text{mm}^3$