Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the approximate volume of the cone? use 3.14 for π. 6 cm 5 cm 1…

Question

what is the approximate volume of the cone? use 3.14 for π. 6 cm 5 cm 157 cm³ 31.4 cm³ 471 cm³ 94.2 cm³

Explanation:

Step1: Recall cone volume formula

The formula for the volume \( V \) of a cone is \( V = \frac{1}{3}\pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Identify values

From the diagram, \( r = 5 \, \text{cm} \) and \( h = 6 \, \text{cm} \), and \( \pi = 3.14 \).

Step3: Substitute into formula

Substitute \( r = 5 \), \( h = 6 \), and \( \pi = 3.14 \) into the formula:

$$ LATEXBLOCK0 $$

Answer:

\( 157 \, \text{cm}^3 \)