QUESTION IMAGE
Question
customers always want to know how much food theyre getting when they place their orders. so, in your next live stream, you plan to share details about the size of your delicious burritos.
in the video, youll use a kitchen scale to determine the burritos mass in grams and measure its dimensions, approximated as a cylinder.
while live streaming, you want to inform viewers about the volume of the burritos. whats the volume of a burrito with a length of 15 cm and a radius of 3 cm?
round your answer to the nearest tenth.
135.0 cm²
282.7 cm²
141.4 cm²
423.9 cm²
Step1: Recall volume formula for cylinder
The volume formula for a cylinder is $V=\pi r^{2}h$, where $r$ is the radius and $h$ is the height (or length in this case).
Step2: Substitute given values
We are given $r = 3$ cm and $h=15$ cm. Substitute into the formula: $V=\pi\times(3)^{2}\times15$.
Step3: Calculate the result
First, $(3)^{2}=9$. Then $V=\pi\times9\times15 = 135\pi$. Using $\pi\approx3.14$, we get $V\approx135\times3.14 = 423.9$ $cm^{3}$.
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$423.9$ $cm^{3}$ (Note: The options in the original question have incorrect units as they are in $cm^{2}$ instead of $cm^{3}$, but the numerical value of the correct - calculated volume is $423.9$)