Question

question
a can of soda can be modeled as a right cylinder. suav measures its height as 11.6 cm and its radius as 2.7 cm. find the volume of the can in cubic centimeters. round your answer to the nearest tenth if necessary.
answer attempt 2 out of 2
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Explanation:

Step1: Recall cylinder volume formula

The volume \( V \) of a right cylinder is given by \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute values

Given \( r = 2.7 \) cm and \( h = 11.6 \) cm. Substitute into the formula:
\( V=\pi\times(2.7)^2\times11.6 \)

Step3: Calculate \( (2.7)^2 \)

\( (2.7)^2 = 7.29 \)

Step4: Multiply by height and \( \pi \)

\( V=\pi\times7.29\times11.6 \). First, \( 7.29\times11.6 = 84.564 \). Then, \( V=\pi\times84.564\approx3.14159\times84.564\approx265.6 \) (rounded to the nearest tenth).

Answer:

\( 265.6 \)