Question

what is the volume of a cylinder with a height of 13.6 cm and a base with a radius of 6.6 cm, to the nearest tenth of a cubic centimeter? answer attempt 2 out of 2 cm³ submit answer watch video show examples

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Substitute given values

Given $r = 6.6$ cm and $h=13.6$ cm. Substitute into the formula: $V=\pi\times(6.6)^{2}\times13.6$.
First, calculate $(6.6)^{2}=6.6\times6.6 = 43.56$. Then $V=\pi\times43.56\times13.6$.
$V=\pi\times592.416$.

Step3: Calculate the volume

Taking $\pi\approx3.14159$, we have $V\approx3.14159\times592.416$.
$V\approx 1861.7$ $cm^{3}$.

Answer:

$1861.7$ $cm^{3}$