Calculate the volume of a frustum with top radius 3 cm, bottom radius 8 cm, and height 10 cm. Use pi = 3.142.

The frustum has:

• Top radius, $r_1 = US = 3$ cm
• Bottom radius, $r_2 = RV = 8$ cm
• Height of the frustum, $h = UV = 10$ cm
• Use $\pi = 3.142$

The volume of a frustum is given by the formula:

$$V = \frac{1}{3} \pi h (r_1^2 + r_1 r_2 + r_2^2)$$

$$V = \frac{1}{3} \times 3.142 \times 10 \times (9 + 24 + 64)$$ $$V = \frac{1}{3} \times 3.142 \times 10 \times (97)$$

$$V = \frac{1}{3} \times 31.42 \times 97$$ $$V = \frac{3047.74}{3}$$ $$V = 1015.9133...$$

$$V \approx 1015.91 \text{ cm}^3$$

The volume of the frustum is:

$$\text{1015.91 cm}^3$$