Question

calculator
a cone - shaped paperweight has a diameter of 3 inches and a height of 5 inches.
what is the volume of the paperweight?
use 3.14 for pi.
enter your answer, as a decimal, in the box.
□ in³

Explanation:

Step1: Find the radius

Radius $r = \frac{\text{diameter}}{2} = \frac{3}{2} = 1.5$ inches.

Step2: Apply cone volume formula

Volume $V = \frac{1}{3}\pi r^2 h$. Substitute $\pi=3.14$, $r=1.5$, $h=5$:
$V = \frac{1}{3} \times 3.14 \times (1.5)^2 \times 5$.

Step3: Calculate the result

First compute $(1.5)^2 = 2.25$. Then:
$V = \frac{1}{3} \times 3.14 \times 2.25 \times 5 = \frac{1}{3} \times 3.14 \times 11.25 = 3.14 \times 3.75 = 11.775$.

Answer:

11.775