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An hemisphere has a radius 5

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An hemisphere has a radius (r) of 5

Calculate the Base Circumference, Volume

Calculatethe Curved Surface Area, Base Surface. Total Surface Area

Hemisphere

Calculate Base Circumference:

Base Circumference = 2πr

Base Circumference = 2π(5)

Base Circumference = 10π or 31.4159

Calculate Volume (V):
V  =  2πr3
  3

V  =  2π(53)
  3

V  =  2π(125)
  3

V  =  250π
  3

V = 83.333333333333π or 261.7994

Calculate Curved Surface Area:

Curved Surface Area = 2πr2

Curved Surface Area = 2π(52)

Curved Surface Area = 2π(25)

Curved Surface Area = 50π or 157.0796

Calculate Base Surface Area:

Base Surface Area = πr2

Base Surface Area = π(52)

Base Surface Area = π(25)

Base Surface Area = 25π or 78.5398

Calculate Total Surface Area:

Total Surface Area = Curved Surface Area + Base Surface Area

Total Surface Area = 50π + 25π

Total Surface Area = 75π or 235.6194

Final Answers:

Base Circumference = 10π or 31.4159
V = 83.333333333333π or 261.7994
Curved Surface Area = 50π or 157.0796
Base Surface Area = 25π or 78.5398
Total Surface Area = 75π or 235.6194

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What is the Answer?

Base Circumference = 10π or 31.4159
V = 83.333333333333π or 261.7994
Curved Surface Area = 50π or 157.0796
Base Surface Area = 25π or 78.5398
Total Surface Area = 75π or 235.6194

How does the Hemisphere Calculator work?

Free Hemisphere Calculator - Calculates the base circumference, volume, curved surface area, base surface area, total surface area of a hemisphere with radius r
This calculator has 1 input.

What 1 formula is used for the Hemisphere Calculator?

What 6 concepts are covered in the Hemisphere Calculator?

circlethe set of all points in the plane that are a fixed distance from a fixed pointcircumferencethe perimeter of a circle or ellipshemispherehalf of a sphereradiusDistance from the center of a circle to the edge
C/2πsurface areathe amount of space covering the outside of a three-dimensional shape.volumequantity of 3-dimensional space

Example calculations for the Hemisphere Calculator

Hemisphere Calculator Video


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Aldo Pusey

Update: 2024-06-30