MENSURATION FORMULAS
In this section, we are going to see mensuration formulas which can be used to find cured surface area, total surface area and volume of 3-D shapes like cylinder, cone and sphere.
Mensuration Formulas
Cylinder :
Formulas :
Curved surface area of cylinder = 2Πrh
Total surface area of cylinder = 2Πr(h + r)
Volume of cylinder = Πr2h
Cone :
Formulas :
Curved surface area of cone = Πrl
Total surface area of cone = 2Πr(l + r)
Volume of cone = Πr2h / 3
Frustum Cone :
Formulas :
Curved surface area of frustum cone = Π(R + r)l
Total surface area of frustum cone is
= Π(R + r)l + ΠR2 + Πr2
Volume of frustum cone = Πh/3 ⋅ (R2 + Rr + r2)
Sphere :
Formulas :
Surface area of sphere = 4Πr2
Volume of sphere = 4Πr3 / 3
Hemisphere :
Formulas :
Curved surface area of hemisphere = 2Πr2
Total surface area of hemisphere = 3Πr2
Volume of hemisphere = 2Πr3 / 3
Cube :
Formulas :
Surface area of cube = 4a2
Total surface area of cube = 6a2
Volume of hemisphere = a3
Cuboid :
Formulas :
Surface area of cuboid = 2(hw + lh)
Total surface area of cuboid = 2(lw + hw + lh)
Volume of cuboid = l x w x h
Mensuration Calculators
18. Heron's Triangle Area Calculator
20. Regular Polygon Area Calculator
22. Circle Sector Area Calculator
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