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

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume of 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 the given values into the formula

Given \(r = 3\) cm and \(h=15\) cm. Substitute these into the formula: \(V=\pi\times(3)^{2}\times15\).
First, calculate \((3)^{2}=9\). Then the formula becomes \(V=\pi\times9\times15 = 135\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14\), we have \(V = 135\times3.14=423.9\) \(cm^{3}\).

Answer:

423.9 \(cm^{3}\) (corresponding to the last option in the multiple - choice list)