Surface Area Of The Hemisphere

Square Pyramid Shape

h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
S_tot = total surface area
South_lat = lateral area
S_bot = bottom surface surface area

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Pyramid Calculator

Calculator Use

Online estimator to calculate the surface surface area of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere, spherical cap, and triangular prism

Units: Note that units are shown for convenience but do non affect the calculations. The units are in place to requite an indication of the order of the results such equally ft, ft² or ft^three. For example, if you are starting with mm and you know r and h in mm, your calculations will result with V in mm³ and S in mm².

Beneath are the standard formulas for expanse.

Surface Area Formulas:

Sheathing Surface Area

• Book = πrⁱⁱ((4/3)r + a)
• Surface Area = 2πr(2r + a)

Circular Cone Expanse

• Volume = (1/3)πr^twoh
• Lateral Surface Area = πrs = πr√(r² + h²)
• Base Surface Area = πr^two
• Full Surface Area
  = 50 + B = πrs + πrⁱⁱ = πr(due south + r) = πr(r + √(r² + hⁱⁱ))

Circular Cylinder Surface Surface area

• Volume = πr^twoh
• Summit Surface area = πr²
• Bottom Surface Surface area = πr²
• Total Surface Area
  = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)

Conical Frustum Surface Area

• Volume = (ane/3)πh (r_ane ⁱⁱ + r₂ ² + (r_one * r₂))
• Lateral Surface Surface area
  = π(r_one + r₂)s = π(r_ane + r_two)√((r_i - r₂)ⁱⁱ + h²)
• Top Surface Expanse = πr₁ ²
• Base Surface Area = πr₂ ²
• Total Surface area
  = π(r_one ² + r_two ² + (r₁ * r₂) * s)
  = π[ r_ane ² + r_two ² + (r_i * r₂) * √((r₁ - r₂)² + h^two) ]

Cube Area

• Volume = a³
• Surface Area = 6a²

Hemisphere Expanse

• Volume = (ii/three)πr^three
• Curved Surface area = 2πr²
• Base Surface Expanse = πr^two
• Total Surface Area= (2πr^two) + (πr^two) = 3πr²

Pyramid Surface Area

• Book = (1/3)a^twoh
• Lateral Surface Expanse = a√(a² + 4h^two)
• Base of operations Surface Area = a²
• Total Surface Surface area
  = 50 + B = a² + a√(a² + 4h²))
  = a(a + √(a^two + 4h^two))

Rectangular Prism Surface Area

• Volume = lwh
• Surface Area = two(lw + lh + wh)

Sphere Surface Expanse

• Volume = (4/3)πr³
• Surface Area = 4πr²

Spherical Cap Surface Area

• Book = (ane/3)πh²(3R - h)
• Surface Expanse = iiπRh

Triangular Prism Surface area

Top Surface Area of a Triangular Prism Formula

\[ A_{tiptop} = \dfrac{one}{4} \sqrt{(a+b+c)(b+c-a)(c+a-b)(a+b-c)} \]

\[ A_{summit} = \dfrac{one}{4} \sqrt{\brainstorm{aligned}(a+&b+c)(b+c-a)\\&\times(c+a-b)(a+b-c)\finish{aligned}} \]

Bottom Area of a Triangular Prism Formula

\[ A_{bot} = \dfrac{1}{4} \sqrt{(a+b+c)(b+c-a)(c+a-b)(a+b-c)} \]

\[ A_{bot} = \dfrac{1}{4} \sqrt{\brainstorm{aligned}(a+&b+c)(b+c-a)\\&\times(c+a-b)(a+b-c)\end{aligned}} \]

Lateral Surface Surface area of a Triangular Prism Formula

\[ A_{lat} = h (a+b+c) \]

Total Surface Area of a Triangular Prism Formula

\[ A_{tot} = A_{top} + A_{bot} + A_{lat} \]

Surface Area Of The Hemisphere,

Source: https://www.calculatorsoup.com/calculators/geometry-solids/surfacearea.php

Posted by: fitzgeraldlecous.blogspot.com

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