A cylindrical tank has a radius of 3 meters and a height of 10 meters. What is the volume of the tank in cubic meters?
["# Understanding the Volume of a Cylindrical Tank: A Practical Example", "When designing or assessing storage infrastructure, cylindrical tanks are widely used due to their efficiency, durability, and space optimization. One common question in engineering and architecture is calculating the volume of such tanks to determine their capacity. For example, consider a cylindrical tank with a radius of 3 meters and a height of 10 meters. What is its volume in cubic meters? This article answers that question clearly and explains the formula behind the calculation.", "## The Cylinder Formula Essentials", "The volume ( V ) of a cylinder is determined using a simple but powerful geometric formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r ) = radius of the tank’s circular base\n- ( h ) = height (or length) of the cylinder\n- ( \pi ) (pi) is a mathematical constant approximately equal to 3.14159", "## Step-by-Step Calculation", "Let’s apply this formula using the given dimensions:", "1. Radius (( r )): 3 meters\n2. Height (( h )): 10 meters", "First, calculate the area of the circular base:", "[\n\ ext{Base Area} = \pi r^2 = \pi \ imes (3)^2 = \pi \ imes 9 \approx 28.2743 , \ ext{m}^2\n]", "Next, multiply the base area by the height to find the total volume:", "[\nV = 28.2743 , \ ext{m}^2 \ imes 10 , \ ext{m} = 282.743 , \ ext{m}^3\n]", "For convenience, the volume is often rounded:", "Approximately 282.74 cubic meters", "## Why This Volume Matters", "Knowing the exact volume within cubic meters is essential for planning storage capacity, fluid handling, and structural load calculations. Engineers and facility managers use this data to ensure compatibility with pipelines, pumps, and safety regulations.", "## Summary", "A cylindrical tank with a radius of 3 meters and height of 10 meters holds approximately 282.74 cubic meters of volume. This practical calculation helps in engineering design, logistics, and operational efficiency. Understanding how to compute tank volumes enables better facility planning and resource management.", "If you’re working with cylindrical storage solutions, remembering the cylinder volume formula ensures quick and accurate assessments—keeping projects efficient and cost-effective."]
