Question

the diagram shows a cone and its dimensions.
which measurement is closest to the volume of the cone in cubic centimeters?
1,005.3 cm³
1,139.4 cm³
3,418.1 cm³
3,015.9 cm³

Explanation:

Step1: Recall cone volume formula

The volume $V$ of a cone is $V = \frac{1}{3}\pi r^2 h$

Step2: Identify given values

Radius $r = 8$ cm, height $h = 15$ cm

Step3: Substitute values into formula

$V = \frac{1}{3} \times \pi \times 8^2 \times 15$

Step4: Simplify the expression

First calculate $8^2 = 64$, then $64 \times 15 = 960$, so $V = \frac{1}{3} \times \pi \times 960 = 320\pi$

Step5: Calculate numerical value

$320\pi \approx 320 \times 3.1416 = 1005.31$

Answer:

1,005.3 $\text{cm}^3$