H=8mm, r=2mm. Calculate the volume of the cone round to the nearest tenth if necessary

1. Use the formula for the volume of a cone:

V = \frac{1}{3} \pi r^2 H

2. Substitute the given values:

H = 8 \, \text{mm}, \, r = 2 \, \text{mm}

V = \frac{1}{3} \pi (2)^2 (8)

3. Calculate \( (2)^2 \):

(2)^2 = 4

4. Substitute and compute:

V = \frac{1}{3} \pi (4)(8)

V = \frac{1}{3} \pi (32)

5. Calculate the product:

V = \frac{32}{3} \pi

6. Calculate:

V\approx33.51032

7. Round to the nearest tenth:

V \approx 33.5 \, \text{mm}^3

This is the answer:

V \approx 33.5 \, \text{mm}^3