Question

shaquana decides to estimate the volume of a coffee cup by modeling it as a right cylinder. she measures its height as 7.6 cm and its radius as 3 cm. find the volume of the cup in cubic centimeters. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

Given \( r = 3\space\text{cm}\) and \( h=7.6\space\text{cm}\).

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Step3: Calculate the numerical value

Using \( \pi\approx3.14159\), we have \( V=68.4\times3.14159\).

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Answer:

\(214.9\space\text{cm}^{3}\)