Question

the formula for the volume, v, in cubic centimeters, of a cylinder is v = πr²h, where h is the height of the cylinder and r is the radius of the base. what is the radius of a cylinder with volume 170cm³ and height 6 cm? round to the nearest whole number.

Explanation:

Step1: Substitute given values into formula

Given $V = 170$, $h=6$, substitute into $V=\pi r^{2}h$: $170=\pi r^{2}\times6$.

Step2: Solve for $r^{2}$

First, rewrite the equation as $r^{2}=\frac{170}{6\pi}$. Calculate $\frac{170}{6\pi}=\frac{170}{6\times3.14}\approx\frac{170}{18.84}\approx9.02$.

Step3: Solve for $r$

Take the square - root of both sides: $r=\sqrt{9.02}\approx3$.

Answer:

3