A cylindrical tank with a radius of 3 meters and height of 5 meters is filled with water. What is the volume of the water in cubic meters?
["# Understanding the Volume of a Cylindrical Tank: Capacity of a 3-Meter Radius, 5-Meter High Tank", "When managing water storage or fluid containment, knowing the precise volume of a cylindrical tank is essential. This becomes especially important in industries such as agriculture, wastewater treatment, and industrial processing, where accurate measurements ensure efficient resource planning. In this article, we explore the volume calculation of a cylindrical tank with a radius of 3 meters and a height of 5 meters filled completely with water.", "## Cylinder Volume Formula", "The volume ( V ) of a cylinder is determined using the formula:", "[\nV = \pi r^2 h\n]", "where:\n- ( r ) = radius of the base\n- ( h ) = height of the cylinder\n- ( \pi ) ≈ 3.14159 (pi)", "## Applying the Values", "Given:\n- Radius ( r = 3 ) meters\n- Height ( h = 5 ) meters", "Substitute into the formula:", "[\nV = \pi \ imes (3\ \ ext{m})^2 \ imes 5\ \ ext{m}\n]", "[\nV = \pi \ imes 9\ \ ext{m}^2 \ imes 5\ \ ext{m}\n]", "[\nV = \pi \ imes 45\ \ ext{m}^3\n]", "[\nV \approx 3.14159 \ imes 45 \approx 141.37\ \ ext{m}^3\n]", "## Conclusion", "A cylindrical tank with a radius of 3 meters and a height of 5 meters holds approximately 141.37 cubic meters of water when full. This volume provides a clear baseline for planning water supply, storage needs, or system design in engineering and environmental applications.", "By accurately calculating tank volume, professionals ensure optimal utilization and reliability in water management systems. Whether for storage, treatment, or distribution, understanding the capacity in cubic meters is key to efficient operation—starting with precise math like this."]
