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Cylinder, Sphere & Cone Volume Calculator
Compute volume and surface area for cylinders, spheres, hemispheres, and cones. Converts volume to gallons (US) and liters.
MATHCompute volume and surface area for the three most common 3D solids: cylinder (V = πr²h), sphere (V = 4/3 πr³), hemisphere, and cone (V = 1/3 πr²h). Also converts the volume to US gallons and liters.
Cylinder SA = 2πr(r + h). Sphere SA = 4πr². Hemisphere SA = 3πr² (flat base + dome). Cone SA = πr(r + √(r² + h²)). Practical applications: tank sizing, pool fill estimates, propane tank capacity, fuel tank volume.
Disclaimer: All measurements must use the same unit. The gallon/liter conversion assumes US gallons (231 in³); UK gallons differ.
Cylinder, Sphere & Cone Volume Calculator
Compute volume and surface area for the three most common 3D solids. Also converts the volume to gallons (US) and liters for liquid-container sizing.
Volume (V = π r² h)
942.48 in³
Surface area534.07 in²
Volume in US gallons4.08 gal
Volume in liters15.44 L
Formulas
- Cylinder: V = π r² h, SA = 2πr(r + h)
- Sphere: V = (4/3)πr³, SA = 4πr²
- Hemisphere: V = (2/3)πr³, SA = 3πr² (flat base + dome)
- Cone: V = (1/3)πr²h, SA = πr(r + √(r² + h²))
Frequently Asked Questions
What is the Cylinder, Sphere & Cone Volume Calculator for?
Compute volume and surface area for the three most common 3D solids: cylinder (V = πr²h), sphere (V = 4/3 πr³), hemisphere, and cone (V = 1/3 πr²h). Also converts the volume to US gallons and liters.
How do I use the Cylinder, Sphere & Cone Volume Calculator?
Cylinder SA = 2πr(r + h). Sphere SA = 4πr². Hemisphere SA = 3πr² (flat base + dome). Cone SA = πr(r + √(r² + h²)). Practical applications: tank sizing, pool fill estimates, propane tank capacity, fuel tank volume.
How accurate are my cylinder, sphere & cone volume results?
All measurements must use the same unit. The gallon/liter conversion assumes US gallons (231 in³); UK gallons differ.
Is the Cylinder, Sphere & Cone Volume Calculator free to use?
Yes - every calculator on WhichCalc is completely free with no signup, no usage limits, and no tracking on the calculation itself. Results display instantly in your browser and your inputs are never sent to a server. Bookmark the page if you use this calculator regularly.