Question

question 28 of 50
the volume of a cone with a height of 4 units and a base radius of 5 units is 314 units cubed.
○ false
○ true

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: Substitute values

Given \( r = 5 \) units and \( h = 4 \) units, substitute into the formula:
\( V = \frac{1}{3} \times \pi \times 5^2 \times 4 \).
Calculate \( 5^2 = 25 \), so \( V = \frac{1}{3} \times \pi \times 25 \times 4 = \frac{100\pi}{3} \).
Using \( \pi \approx 3.14 \), \( V \approx \frac{100 \times 3.14}{3} \approx \frac{314}{3} \approx 104.67 \) cubic units.
This is not equal to 314 cubic units.

Answer:

A. False