Question

the formula for the volume of a cylinder is $\pi r^2 h$. use 3.14 as an approximation of $\pi$. what is the approximate volume of the cylinder? image of a cylinder with radius 3 cm and height 5 cm \\(\boldsymbol{\text{options:}}\\) \\(\boldsymbol{\text{a. } 47.1\\,\text{cm}^3}\\) \\(\boldsymbol{\text{b. } 94.2\\,\text{cm}^3}\\) \\(\boldsymbol{\text{c. } 141.3\\,\text{cm}^3}\\)

Explanation:

Step1: Identify the formula and values

The formula for the volume of a cylinder is \( V = \pi r^2 h \). From the diagram, the radius \( r = 3 \) cm and the height \( h = 5 \) cm. We use \( \pi \approx 3.14 \).

Step2: Calculate \( r^2 \)

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

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

Now, substitute into the formula: \( V = 3.14 \times 9 \times 5 \). First, calculate \( 3.14 \times 9 = 28.26 \). Then, multiply by 5: \( 28.26 \times 5 = 141.3 \).

Answer:

C. \( 141.3 \, \text{cm}^3 \)