Question

what is the volume of a cylinder with a height of 6.5 cm and a base with a radius of 4.8 cm, to the nearest tenth of a cubic centimeter? answer: attempt 1 out of 2 cm³

Explanation:

Step1: Recall volume formula

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

Step2: Substitute values

Given $r = 4.8$ cm and $h=6.5$ cm. Substitute into the formula: $V=\pi\times(4.8)^{2}\times6.5$.

Step3: Calculate $(4.8)^{2}$

$(4.8)^{2}=4.8\times4.8 = 23.04$.

Step4: Multiply by $\pi$ and $h$

$V=\pi\times23.04\times6.5\approx3.14\times23.04\times6.5$.
$3.14\times23.04 = 72.3456$.
$72.3456\times6.5=470.2464$.

Step5: Round to the nearest tenth

Rounding $470.2464$ to the nearest tenth gives $470.2$.

Answer:

$470.2$