Question

question 5
an ice-cream cone has a diameter of 2.5 inches and a height of 5 inches.
what is the volume of the ice cream that the cone can hold?
use 3.14 for pi.
round to the nearest hundredth, if necessary.

Explanation:

Step1: Find the radius

The diameter is 2.5 inches, so the radius \( r=\frac{2.5}{2}=1.25 \) inches.

Step2: Use the cone volume formula

The formula for the volume of a cone is \( V = \frac{1}{3}\pi r^{2}h \). Substitute \( \pi = 3.14 \), \( r = 1.25 \), and \( h = 5 \) into the formula.
First, calculate \( r^{2}=(1.25)^{2}=1.5625 \).
Then, calculate \( \pi r^{2}h=3.14\times1.5625\times5 = 3.14\times7.8125 = 24.53125 \).
Finally, \( V=\frac{1}{3}\times24.53125\approx8.18 \) (cubic inches).

Answer:

\( 8.18 \) cubic inches