Combined Hemisphere & Cylinder
Interactive geometry — Volume & Surface Area of a Combined Solid (Hemisphere on Cylinder)
← Back to HomeFormulas
Cylinder Volume (Vc) = πr²h
Hemisphere Volume (Vh) = (2/3)πr³
Total Volume (V) = Vc + Vh
Cylinder CSA = 2πrh
Hemisphere CSA = 2πr²
Total Surface Area = πr² + 2πrh + 2πr²
TSA Simplified = 3πr² + 2πrh
How to Use
• Drag to rotate the combined solid in 3D
• Scroll to zoom in / out
• Adjust sliders to change dimensions
• Watch measurements update in real-time
Key Terms
Combined Solid — a 3D shape made by joining two or more basic solids
Cylinder — the lower part with a circular base
Hemisphere — half a sphere forming the domed top
Great Circle — the circular face where hemisphere meets cylinder
Did You Know?
Combined solids with a hemisphere on a cylinder appear everywhere — grain silos with domed roofs, water storage tanks, pill capsules, domed stadiums, and pressure vessels. This shape maximizes internal volume while distributing stress evenly across the curved top!
About This Math Simulation
Explore the geometry of a combined solid (hemisphere on cylinder). Adjust radius and height, then watch total volume and surface area update in real-time.