A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled with water. If the water is to be distributed equally into smaller cylindrical containers each with a height of 2 meters and a radius of 1 meter, how many containers are needed?

Sat, 02 May 2026 21:19:12 +0000

**How Many Smaller Cylindrical Containers Are Needed to Hold Water from a Large Tank?**
A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled with water. If that water is to be evenly distributed into smaller cylindrical containers each measuring 2 meters in height and 1 meter in radius, determining the exact number needed requires a clear calculation. This question is gaining subtle traction across US DIY, smart home, and sustainable living channels, as people explore efficient water storage solutions for domestic use, off-grid setups, or event planning. With growing interest in water conservation and space optimization, understanding this distribution challenge offers practical value. **Why This Distribution Problem Is Resonating Now**
The idea of transferring water between cylindrical vessels touches on everyday concerns about storage efficiency, resource allocation, and system design. In a mobile-first, fast-paced digital environment, users are increasingly curious about translating large-scale volumes into usable containers—whether for rainwater harvesting, heating systems, or emergency reserves. The growing emphasis on smart home automation and self-sufficiency fuels interest in such calculations, placing this query squarely within trending domestic planning discussions. **How Many Smaller Containers Are Required?**
To determine the number of smaller containers, begin by calculating the volume of the large tank and compare it to the volume capacity of each small container.
The volume of a cylinder is given by the formula:
**Volume = π × r² × h**
For the large tank:
Radius = 3 meters, height = 10 meters
Volume = π × (3)² × 10 = π × 9 × 10 = 90π cubic meters
For one small container:
Radius = 1 meter, height = 2 meters
Volume = π × (1)² × 2 = 2π cubic meters

To find the number of containers needed:
Total required volume ÷ Volume per small container = 90π ÷ 2π = 45 Thus, exactly **45 containers** are needed to hold all the water from the large tank.