find the volume for the cylinder

Question

height: 12.4
radius: 6.2

Answer 1

The volume $V$ of a cylinder can be calculated using the formula:

$$V=\pi r^{2}h$$

where:

• $r$ is the radius of the base of the cylinder,
• $h$ is the height of the cylinder, and
• $\pi$ is approximately $3.14159$.

Given:

• Height ($h$) = 12.4
• Radius ($r$) = 6.2

Now, substituting the values into the formula:

$$V=\pi (6.2{)}^2(12.4)$$

First, calculate $(6.2{)}^2$:

$$(6.2{)}^2=38.44$$

Now, substitute this back into the volume formula:

$$V=\pi \times 38.44\times 12.4$$

Next, multiply $38.44$ by $12.4$:

$$38.44\times 12.4=476.256$$

Now, use the value of $\pi$:

$$V\approx 3.14159\times 476.256\approx 1499.134$$

Thus, the volume of the cylinder is approximately:

$$V\approx 1499.13,\text{cubic units}$$