find the volume of a right circular cone that has a height of 17.7 cm and a base with a diameter of 15.8 cm…

Explanation:

Step1: Find the radius

The radius $r$ is half of the diameter. Given diameter $d = 15.8$ cm, so $r=\frac{d}{2}=\frac{15.8}{2}=7.9$ cm.

Step2: Use the volume formula for a cone

The volume formula for a right - circular cone is $V=\frac{1}{3}\pi r^{2}h$. Substitute $r = 7.9$ cm and $h=17.7$ cm into the formula. $V=\frac{1}{3}\times\pi\times(7.9)^{2}\times17.7$ $V=\frac{1}{3}\times\pi\times62.41\times17.7$ $V=\frac{1}{3}\times\pi\times1104.657$ $V\approx\frac{1}{3}\times3.14159\times1104.657$ $V\approx\frac{3470.737}{3}$ $V\approx1156.9$ cm³

Answer:

$1156.9$ cm³