Question

2/3 volume of cones and cylinders assignment the duponts want to add a new cone to their menu. its called the family sundae cone. look at its dimensions in the model. find the volume of the cone rounding to the nearest tenths place. 15 cm 25 cm volume

Explanation:

Step1: Recall cone volume formula

The volume $V$ of a cone is $V=\frac{1}{3}\pi r^2 h$, where $r=15$ cm (radius) and $h=25$ cm (height).

Step2: Substitute values into formula

$$V=\frac{1}{3}\pi (15)^2 (25)$$

Step3: Calculate the squared radius

$$(15)^2=225$$

Step4: Multiply constants first

$$\frac{1}{3} \times 225 \times 25 = 75 \times 25 = 1875$$

Step5: Multiply by $\pi$ and round

$$V=1875\pi \approx 1875 \times 3.1416 \approx 5890.5$$

Answer:

$5890.5$ cubic centimeters