Question

a cylinder has a volume of 1130 centimeter cubes and its height is 10 cm. what is the radius of this cylinder? (round to the nearest whole number)
r = radius
h = height
6 cm
5 cm
7 cm
4 cm

Explanation:

Step1: Write volume formula

The volume formula of a cylinder is $V=\pi r^{2}h$. We know $V = 1130$ and $h=10$. Substitute these values into the formula: $1130=\pi r^{2}\times10$.

Step2: Isolate $r^{2}$

First, divide both sides of the equation by $10\pi$. So $r^{2}=\frac{1130}{10\pi}=\frac{113}{\pi}$.

Step3: Calculate $r$

Take the square - root of both sides: $r=\sqrt{\frac{113}{\pi}}$. Using $\pi\approx3.14$, we have $r=\sqrt{\frac{113}{3.14}}\approx\sqrt{36}$.

Answer:

$6$ cm