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Circular Cone Surface Area

1. Lateral Surface Area = πrs = πr√(r² + h²)
2. Base Surface Area = πr²
3. Total Surface Area
   = L + B = πrs + πr² = πr(s + r) = πr(r + √(r² + h²))

Capsule Surface Area

1. Surface Area = 2πr(2r + a)

Circular Cylinder Surface Area

1. Top Surface Area = πr²
2. Bottom Surface Area = πr²
3. Total Surface Area
   = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)

Cube Surface Area

1. Surface Area = 6a²

Conical Frustum Surface Area

1. Lateral Surface Area
   = π(r₁ + r₂)s = π(r₁ + r₂)√((r₁ - r₂)² + h²)
2. Top Surface Area = πr₁²
3. Base Surface Area = πr₂²
4. Total Surface Area
   = π(r₁² + r₂² + (r₁ * r₂) * s)
   = π[ r₁² + r₂² + (r₁ * r₂) * √((r₁ - r₂)² + h²) ]

Hemisphere Surface Area

1. Curved Surface Area = 2πr²
2. Base Surface Area = πr²
3. Total Surface Area= (2πr²) + (πr²) = 3πr²

Rectangular Prism Surface Area

1. Surface Area = 2(lw + lh + wh)

Pyramid Surface Area

1. Lateral Surface Area = a√(a² + 4h²)
2. Base Surface Area = a²
3. Total Surface Area
   = L + B = a² + a√(a² + 4h²))
   = a(a + √(a² + 4h²))

Spherical Cap Surface Area

1. Surface Area = 2πRh

Sphere Surface Area

1. Surface Area = 4πr²

For example, To sphere when r = 3

1. To calculate the surface area of a sphere, use the following formula: 4πr². When you substitute r for its value, you get 4π * 3², which equals 113.09734 m².

For example, To cone when r = 3, h = 3

1. To calculate the surface area of a cone, use the following formula: πr(r + √(r² + h²)). When you substitute r and h for their values, you get π3(3 + *radic;(3² + 3²)), which equals 68.26028 m².