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Capacity and Volume Calculator

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Example
Created on 2024-06-20Asked by Camila Lewis (Solvelet student)
Calculate the volume of a cylinder with a radius of 3 units and a height of 5 units.

Solution

Step 1: Identify the radius (rr) and height (hh) of the cylinder. The radius is 3 units and the height is 5 units. Step 2: Use the formula for the volume of a cylinder: V=πr2h. V = \pi r^2 h. Step 3: Substitute r=3 r = 3 and h=5 h = 5 into the formula: V=π(3)2(5)=π95=45π cubic units. V = \pi (3)^2 (5) = \pi \cdot 9 \cdot 5 = 45\pi \text{ cubic units}. Step 4: Conclusion. The volume of the cylinder is 45π 45\pi cubic units. Solved on Solvelet with Basic AI Model
Some of the related questions asked by Penelope Smith on Solvelet
1. Let us find the volume of a cylinder with = 5 and = 10. A cylinder is formed by stretch a certain closed curve in space — in our case, the circle. Consequently, starting from the formula for the latter’s area we arrive at the following formula for the cylinder’s volume:. Thus, the volume of the cylinder is 1250 cubic cm.2. Calculate the capacity of a rectangular tank with dimensions 3 meters by 2 meters by 4 meters.,
DefinitionMeaning of Capacity and Volume Capacity and volume are terms mostly used for the measurements to describe the amount of space occupied by the three dimensional object. Usually, capacity refers to the ability of a container or vessel to hold a certain volume of liquid or mass, and volume is particularly the amount of space occupied by a three-dimensional body. Some examples of engineering, manufacturing, architecture, and fluid mechanics problems which require capacity and volume calculations are designing structures and containers, and calculating the quantities of materials to subsequently store or transfer. Eg: Volume of a cylinder, V = πr2h, where r is the radius, h is the height of the tank
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