Question

question
bilquis decides to estimate the volume of a coffee cup by modeling it as a right cylinder. she measures its height as 8.5 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.
answer attempt 1 out of 2
cm³
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Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \( V \) of a 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 \( r = 3\) cm and \( h=8.5\) cm. Substitute into \( V=\pi r^{2}h\):
\( V=\pi\times(3)^{2}\times8.5\)
First, calculate \( (3)^{2}=9 \). Then \( V=\pi\times9\times8.5\)
\( V = 76.5\pi\)

Step3: Calculate the numerical value

Using \( \pi\approx3.14\), we have \( V=76.5\times3.14\)
\( V = 240.21\)

Answer:

\( 240.2\)