Question

what is the approximate volume of the cone below?
7 cm
10 cm
○ 70 cm³
○ 183 cm³
○ 540 cm³
○ 733 cm³
graphing calculator

Explanation:

Step1: Find radius of the cone

The diameter is 10 cm, so radius $r = \frac{10}{2} = 5$ cm.

Step2: Recall cone volume formula

The formula for the volume of a cone is $V = \frac{1}{3}\pi r^2 h$, where $h=7$ cm.

Step3: Substitute values into formula

$$V = \frac{1}{3} \times \pi \times 5^2 \times 7$$
$$V = \frac{1}{3} \times \pi \times 25 \times 7$$
$$V = \frac{175\pi}{3}$$

Step4: Calculate approximate value

Using $\pi \approx 3.14$, $V \approx \frac{175 \times 3.14}{3} = \frac{549.5}{3} \approx 183$ cm³

Answer:

183 cm³ (Option B: 183 cm³)