Question

what is the volume of this cylinder? 3 ft. 3.5 ft. round your answer to the nearest whole number. cubic feet submit work it out not feeling ready yet? these can help:

Explanation:

Step1: Recall the formula for the volume of a cylinder.

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

Step2: Identify the values of \( r \) and \( h \).

From the diagram, the radius \( r = 3 \) ft and the height \( h = 3.5 \) ft.

Step3: Substitute the values into the formula.

Substitute \( r = 3 \) and \( h = 3.5 \) into the formula:
\[
V = \pi \times (3)^2 \times 3.5
\]

Step4: Calculate \( (3)^2 \).

\( (3)^2 = 9 \), so the formula becomes:
\[
V = \pi \times 9 \times 3.5
\]

Step5: Calculate \( 9 \times 3.5 \).

\( 9 \times 3.5 = 31.5 \), so the formula becomes:
\[
V = \pi \times 31.5
\]

Step6: Approximate \( \pi \) as \( 3.14 \) and calculate the volume.

\[
V \approx 3.14 \times 31.5
\]
\[
V \approx 98.91
\]

Step7: Round to the nearest whole number.

Rounding \( 98.91 \) to the nearest whole number gives \( 99 \).

Answer:

99