Question

find the volume of this cone. use 3 for π. v = \frac{πr^{2}h}{3} v ≈ ?cm^{3} hint: the radius (r) is 1/2 of the diameter. 10 cm 10 cm

Explanation:

Step1: Find the radius

The diameter is 10 cm, so the radius $r=\frac{10}{2}=5$ cm.

Step2: Substitute values into volume formula

Given $\pi = 3$, $r = 5$ cm and $h=10$ cm, and the volume formula $V=\frac{\pi r^{2}h}{3}$. Substitute the values: $V=\frac{3\times5^{2}\times10}{3}$.

Step3: Calculate the volume

First, calculate $5^{2}=25$. Then $3\times25\times10 = 750$. And $\frac{750}{3}=250$ $cm^{3}$.

Answer:

250