Surface area and Volume Class-10 Formulas
Surface area and Volume Class - 10 Formulas
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Sphere Formulas |
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Diameter of sphere |
2r |
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Surface area of sphere |
4 π r2 |
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Volume of Sphere |
4/3 π r3 |
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Cylinder formula
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Curved surface area
of Cylinder |
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2 πrh |
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Area of two circular
bases |
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2 πr2 |
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Total surface area
of Cylinder |
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Curved surface area of Cylinder + Area of Circular bases = 2 πrh + 2 πr2 |
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Volume of Cylinder |
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π r2 h |
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Cone Formulas |
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Slant height of cone |
l = √(r2 + h2) |
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Curved surface area of cone |
πrl |
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Total surface area of cone |
πr (l + r) |
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Volume of cone |
⅓ π r2 h |
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Cuboid Formulas |
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Perimeter of cuboid |
4(l + b +h) |
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Length of the longest diagonal of a cuboid |
√(l2 + b2 + h2) |
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Total surface area of cuboid |
2(l×b + b×h + l×h) |
Cone on a Cylinder.
Total Surface area = Curved surface area of cone + Curved
surface area of cylinder + area of circular base
Total Volume = Volume of cone + Volume of cylinder
Cone on a Hemisphere:
Total Surface area = Curved surface area of cone + Curved
surface area of hemisphere
Volume = Volume of cone + Volume of hemisphere
Conical Cavity in a Cylinder
Total Surface area = Curved surface area of cylinder + Area
of bottom face of cylinder + Curved surface area of cone
Volume = Volume of cylinder – Volume of cone
Cones on Either Side of Cylinder.
Surface area = Curved surface area of 2 cones + Curved
surface area of cylinder
Volume = 2(Volume of cone) + Volume of
cylinder
Cylinder with Hemispherical Ends.
Total surface area= Curved surface area of cylinder + Curved
surface area of 2 hemispheres
Volume = Volume of cylinder + Volume of 2
hemispheres
Hemisphere on Cube or Hemispherical Cavity on Cube
Surface area = Surface area of cube – Area of hemisphere face
+ Curved surface area of hemisphere
Volume = Volume of cube + Volume of hemisphere
Hemispherical Cavity in a Cylinder
Total surface area = Curved surface area of cylinder +
Surface area of base + Curved surface area of hemisphere
Volume = Volume of cylinder – Volume of
hemisphere
2 Hemisphere cavity in both end of cylinder
Total surface area = Curved surface area of cylinder + 2×
Curved surface area of hemisphere
