Calculator Online

Home AI Chat AI Math Solver

NEW

Tools ▾ Category ▾

Pricing Sign In

Calculator Online

Your Result is copied!

Hemisphere Calculator

Select any one parameter and enter its value. The calculator will quickly find all other entities of a hemisphere in terms of simple and 𝜋-related calculations.

Known Parameter:

Enter Volume

ft ▾

In terms Of PI:

Related

Hemisphere Calculator

The hemisphere calculator helps you find various properties of a hemisphere from any one known variable. This online tool calculates values in terms of π (Pi) and allows you to determine variables based on:

Radius (r)
Total surface area (TSA or K)
Volume (V)
Curved surface area (CSA or A)
Base circumference (C)

Using this calculator, you can determine the volume, surface areas, and circumference of a hemisphere quickly and accurately.

Hemisphere Formulas

A hemisphere is half of a sphere, so its formulas are derived from sphere formulas divided accordingly:

Volume: V = (2/3)πr³
Curved surface area: A = 2πr²
Base area: B = πr²
Total surface area: K = 3πr²
Base circumference: C = 2πr

Manual Calculations

Given Volume (V), Find r, A, C, K

Formula for radius from volume:

r = ∛(3V / 2π)

Example: Volume V = 35 ft³

Solution:

r = ∛(3 × 35 / 2 × 3.14)
r = ∛(105 / 6.28)
r = ∛16.71
r ≈ 2.55 ft

Curved Surface Area: A = 2πr² ≈ 2 × 3.14 × (2.55)² ≈ 41.08 ft²
Total Surface Area: K = 3πr² ≈ 61.62 ft²
Base Circumference: C = 2πr ≈ 16.04 ft

Given Curved Surface Area (A), Find r, V, C, K

Formula for radius from curved surface area:

r = √(A / 2π)

Example: A = 46 ft²

Solution:

r = √(46 / 2 × 3.14) ≈ √7.32 ≈ 2.70 ft
V = (2/3)πr³ ≈ 41.49 ft³
C = 2πr ≈ 17 ft
K = 3πr² ≈ 69 ft²

Given Total Surface Area (K), Find r, V, A, C

Formula for radius from total surface area:

r = √(K / 3π)

Example: K = 85 ft²

Solution:

r = √(85 / 3 × 3.14) ≈ √9.02 ≈ 3 ft
V = (2/3)πr³ ≈ 56.71 ft³
A = 2πr² ≈ 56.62 ft²
C = 2πr ≈ 18.86 ft

Given Base Circumference (C), Find r, V, A, K

Formula for radius from circumference:

r = C / 2π

Example: C = 25 ft

Solution:

r = 25 / (2 × 3.14) ≈ 3.979 ft
V = (2/3)πr³ ≈ 131.94 ft³
A = 2πr² ≈ 99.47 ft²
K = 3πr² ≈ 149.22 ft²

Frequently Asked Questions (FAQ)

What is a hemisphere?

A hemisphere is half of a sphere created when a plane passes through the center. It includes the curved surface area and the base area. Its volume is half that of a sphere with the same radius.

What is the total surface area (TSA) of a sphere?

The total surface area of a sphere is: Surface Area = 4πr². It includes all external surfaces of the sphere.

How do you find the diameter of a hemisphere?

The diameter is simply: d = 2r, where r is the radius.

Why is it called a hemisphere?

The term "hemisphere" comes from the Greek prefix "hemi" meaning "half," referring to half of a sphere. The Earth, for example, is divided into Northern and Southern hemispheres.

References

Related

Calculator Online

Get the ease of calculating anything from the source of calculator online

Links

Home Conversion Calculator About Calculator Online Blog Hire Us Knowledge Base Sitemap Sitemap Two

Support

Email us at