QuestionFind the volume of a cylinder with radius 8 cm and height 6 cm using $\pi \approx 3.14$ . Choices: $301.44 \mathrm{~cm}^{3}$ , $150.72 \mathrm{~cm}^{3}$ , $904.32 \mathrm{~cm}^{3}$ , $226.08 \mathrm{~cm}^{3}$ .

Studdy Solution

STEP 1

Assumptions1. The radius of the cylinder is8 cm. The height of the cylinder is6 cm3. We use3.14 for $\pi$
4. The volume of a cylinder is given by the formula $V = \pi r^{}h$ , where $r$ is the radius, $h$ is the height, and $\pi$ is a constant approximately equal to3.14

STEP 2

We need to find the volume of the cylinder using the given formula. $V = \pi r^{2}h$

STEP 3

Now, plug in the given values for the radius, height, and $\pi$ to calculate the volume.
$V =3.14 \times (8 \, \mathrm{cm})^{2} \times6 \, \mathrm{cm}$

STEP 4

Calculate the square of the radius.
$(8 \, \mathrm{cm})^{2} =64 \, \mathrm{cm}^{2}$ $V =3.14 \times64 \, \mathrm{cm}^{2} \times6 \, \mathrm{cm}$

STEP 5

Multiply the values to get the volume.
$V =3.14 \times64 \, \mathrm{cm}^{2} \times \, \mathrm{cm} =1205.76 \, \mathrm{cm}^{3}$ The approximate volume of the cylinder is $1205.76 \, \mathrm{cm}^{3}$ . However, this value is not in the given options. There seems to be a mistake in the problem or the options provided. Please check the values again.

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