How do i find the volume of a Paper Cup?
Mark E.
To find the volume of a paper cup, you'll need to measure its dimensions and then use the formula for the volume of a cylinder. Here's how you can do it:
Measurements: Measure the height (h) of the paper cup and the diameter (d) of its circular opening. Make sure to measure in the same unit, such as inches or centimeters.
Radius Calculation: Since you have the diameter (d), you can find the radius (r) by dividing the diameter by 2.
So, in summary, the steps are:
Measure the height and diameter of the paper cup.
Calculate the radius.
Use the volume formula for a cylinder.
Perform the calculations.
Include units in your final answer.
If you need further assistance or have any questions about the process, feel free to ask!
<!DOCTYPE html>
<html>
<head>
<title>Calculate Paper Cup Volume</title>
<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
</head>
<body>
<h2>Calculate Paper Cup Volume</h2>
<form method="post" action="">
<label for="height">Height (in mm):</label>
<input type="number" id="height" name="height" required><br><br>
<label for="diameter">Diameter (in mm):</label>
<input type="number" id="diameter" name="diameter" required><br><br>
<button type="submit">Calculate Volume</button>
</form>
<?php
if ($_SERVER["REQUEST_METHOD"] == "POST") {
$height = $_POST['height'];
$diameter = $_POST['diameter'];
// Convert height and diameter to inches
$height_inches = $height * 0.0393701;
$diameter_inches = $diameter * 0.0393701;
// Calculate radius
$radius = $diameter_inches / 2;
// Calculate volume
$volume_cubic_inches = pi() * pow($radius, 2) * $height_inches;
// Convert cubic inches to US fluid ounces
$volume_fluid_ounces = $volume_cubic_inches * 0.554113;
// Output volume
echo "<p>The volume of the paper cup is approximately: <span id='volume'>" . round($volume_cubic_inches, 2) . "</span> cubic inches, or <span id='fluid-ounces'>" . round($volume_fluid_ounces, 2) . "</span> US fluid ounces.</p>";
}
?>
</body>
</html>