Question

find the volume of this cylinder. use 3.14 for π. 3 cm 8 cm volume of a cylinder v = bh = πr²h v =? cm³ round your answer to the nearest tenth.

Explanation:

Step1: Identify the formula and values

The formula for the volume of a cylinder is \( V = \pi r^2 h \), where \( r = 3 \) cm (radius) and \( h = 8 \) cm (height), and \( \pi = 3.14 \).

Step2: Calculate \( r^2 \)

First, find \( r^2 \): \( 3^2 = 9 \).

Step3: Multiply by \( \pi \) and \( h \)

Now, substitute the values into the formula: \( V = 3.14 \times 9 \times 8 \).
First, calculate \( 3.14 \times 9 = 28.26 \).
Then, calculate \( 28.26 \times 8 = 226.08 \).

Step4: Round to the nearest tenth

Rounding \( 226.08 \) to the nearest tenth gives \( 226.1 \).

Answer:

\( 226.1 \)