A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. How many cubic meters of water does it hold?
["Title: How Much Water Can a Cylindrical Tank Hold? A Complete Calculation", "A cylindrical tank with a radius of 3 meters and a height of 5 meters filled with water presents a classic real-world scenario in engineering and volume calculation. Understanding the volume of such a tank is essential for water storage planning, irrigation systems, industrial processes, and many other applications.", "In this article, we’ll explore how to calculate the volume of water a cylindrical tank holds, using precise formulas and practical examples to help you determine exactly how many cubic meters of water fit in a tank with these dimensions.", "---", "### What Is the Volume of a Cylinder?", "A cylinder’s volume is calculated using the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( V ) = volume in cubic meters (m³)\n- ( r ) = radius of the base (in meters)\n- ( h ) = height (or depth) of the cylinder (in meters)\n- ( \pi \approx 3.1416 )", "---", "### Applying the Formula to the Given Tank", "Given:\n- Radius ( r = 3 ) meters\n- Height ( h = 5 ) meters", "Plug the values into the volume formula:", "[\nV = \pi \ imes (3)^2 \ imes 5\n]", "[\nV = \pi \ imes 9 \ imes 5\n]", "[\nV = 45\pi\n]", "Using ( \pi \approx 3.1416 ):", "[\nV \approx 45 \ imes 3.1416 = 141.372 , \ ext{m}^3\n]", "---", "### Final Answer: How Many Cubic Meters of Water?", "The cylindrical tank with a radius of 3 meters and a height of 5 meters holds approximately 141.37 cubic meters of water.", "---", "### Why This Matters in Real-World Applications", "Knowing the exact volume is critical for:\n- Designing water supply systems\n- Calculating storage capacity for industrial tanks\n- Managing irrigation water requirements\n- Ensuring compliance with safety and regulatory standards", "Whether you're a civil engineer, a farmer, or a homeowner planning a water storage solution, understanding cylinder volume helps make informed, efficient decisions.", "---", "Conclusion:\nA cylindrical tank of 3 meters radius and 5 meters height holds 141.37 m³ of water—plenty to support numerous practical needs. Use the formula ( V = \pi r^2 h ) for quick, accurate volume estimates anytime you work with cylindrical tanks.", "---", "Keywords: cylindrical tank volume, cylinder water capacity, cubic meters water, radius 3 meter tank, height 5 meter cylinder, water storage calculation, volume formula, how much water in a cylinder", "Meta Description:\nDiscover how to calculate the exact volume of water in a cylindrical tank with 3 meters radius and 5 meters height — approximately 141.37 cubic meters. Perfect for engineering, agriculture, and water management needs."]
