Question

how much ice cream would be needed to fill the ice cream cone to the top but not over the top? 16 in 3 ft 803.84 150.72 452.16 50.24

Explanation:

Step1: Convert height to inches

The height is 3 ft, and since 1 ft = 12 in, $3 \times 12 = 36$ in.

Step2: Recall cone volume formula

The volume $V$ of a cone is $V = \frac{1}{3}\pi r^2 h$, where $r=16$ in, $h=36$ in.

Step3: Substitute values into formula

$V = \frac{1}{3} \times \pi \times 16^2 \times 36$
First calculate $16^2 = 256$, then $256 \times 36 = 9216$, then $\frac{1}{3} \times 9216 = 3072$.
So $V = 3072\pi$. Using $\pi=3.14$, $3072 \times 3.14 = 9646.08$ (This does not match options, so check if radius is diameter: if 16 in is diameter, $r=8$ in)

Step4: Use $r=8$ in (corrected assumption)

$V = \frac{1}{3} \times 3.14 \times 8^2 \times 36$
Calculate $8^2=64$, $64 \times 36=2304$, $\frac{1}{3} \times 2304=768$, $768 \times 3.14=2411.52$ (still no match; check if height is 3 in)

Step5: Use $h=3$ in, $r=16$ in

$V = \frac{1}{3} \times 3.14 \times 16^2 \times 3$
$16^2=256$, $256 \times 3=768$, $\frac{1}{3} \times 768=256$, $256 \times 3.14=803.84$

Answer:

803.84