Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the volume of this cone. use 3 for $pi$. v = $\frac{pi r^{2}h}{3}$…

Question

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

Explanation:

Step1: Identify radius and height

Given radius $r = 2$ cm and height $h=5$ cm.

Step2: Substitute values into formula

$V=\frac{\pi r^{2}h}{3}$, substituting $\pi = 3$, $r = 2$ and $h = 5$ gives $V=\frac{3\times2^{2}\times5}{3}$.

Step3: Simplify the expression

First, calculate $2^{2}=4$. Then $3\times4\times5 = 60$. And $\frac{60}{3}=20$.

Answer:

$20$