Surface Area and Volume Formulas - Sphere, Hemisphere, Cone, Frustum (2024)

Examples

Last updated at April 16, 2024 by Teachoo

For calculations, Lateral Surface Area means curved surface area. It's called lateral surface area for cube and cuboid and curved surface area for cylinder, cone and hemisphere.

The formulas for calculating Surface Area and Volume are

Cube

• Lateral Surface Area = 4a ²
• TotalSurface Area = 6a ²
• Volume= a ³

Cuboid

• Lateral Surface Area = 2(lh + bh) = 2 (l + b) h
• TotalSurface Area = 2(lb + bh + lh)
• Volume=l x b x h

Cylinder

• CurvedSurface Area = 2πrh
• TotalSurface Area = 2πrh +πr ² +πr ² =2πrh + 2πr ² =2πr(r + h)
• Volume =πr ² h

Cone

• CurvedSurface Area = πrl
• TotalSurface Area = πrl +πr ² =πr(r + l)
• Volume = 1/3 πr ² h

Hemisphere

• CurvedSurface Area =2πr ²
• TotalSurface Area = 2πr ² +πr ² =3πr ²
• Volume = 2/3 πr ³

Sphere

• Surface Area = 4πr ²
• Volume = 4/3 πr ³

Frustum

• Curved Surface Area = π(r ₁ + r ₂ )l
• Total Surface Area =π(r ₁ + r ₂ )l + πr ₁ ² + πr ₂ ²
• Volume = 1/3 πh (r ₁ ² + r ₂ ² + r ₁ r ₂ )

Facebook Whatsapp

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.