# A can of corn has diameter of 6.6 cm and a height of 9.0 centimeters what is the volume of this cylinder?

Apr 18, 2018

$307.91$ $c {m}^{3}$ rounded to nearest hundredth

#### Explanation:

Volume $= \pi \cdot r \cdot r \cdot h$

$V = \pi \cdot 3.3 \cdot 3.3 \cdot 9$

$V = 307.91$

Apr 18, 2018

$\approx 307.91$ ${\text{cm}}^{3}$

#### Explanation:

The formula for the volume of a cylinder is $\pi {r}^{2} h$, where:
$\quad r = \text{radius}$
$\quad \quad$ and
$\quad h = \text{height}$

In this question, we have the diameter of the circle, also meaning twice the radius. Let's divide the diameter by $2$ to get the radius:
$\quad \frac{6.6}{2} = 3.3$ cm

We also have the height, which is $9.0$ cm, so now let's plug it into the formula;
$\quad \implies \pi {\left(3.3\right)}^{2} \left(9.0\right)$

Simplify:
$\quad \implies \pi \left(10.89\right) \left(9.0\right)$

$\quad \textcolor{red}{\approx 307.91}$ $\textcolor{red}{{\text{cm}}^{3}}$