BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation

Math Table of Contents Dropdown Table Of Contents

Creative Math Ideas Image
Live Math Learners Count Icon234 Learners

Last updated on January 24th, 2025

Math Whiteboard Illustration

Volume of a Hemisphere Calculator

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

A calculator is a tool designed to perform both basic arithmetic operations and advanced calculations, such as those involving trigonometry. It is especially helpful for completing mathematical school projects or exploring complex mathematical concepts. In this topic, we will discuss the Volume of a Hemisphere Calculator.

Professor Greenline from BrightChamps

What is the Volume of a Hemisphere Calculator

Volume of a Hemisphere Calculator is a tool designed for calculating the volume. A hemisphere is a three-dimensional shape that represents half of a sphere. If a sphere is cut through the middle, then we get a curved surface and a flat base.

The diameter of the hemisphere is a straight line running through the centre and joining the opposite points of the base of the hemisphere.

The word hemisphere comes from the Greek word "hemi", meaning "half", and the Latin word "shaera", meaning "globe".
 

Professor Greenline from BrightChamps

How to use the Volume of a Hemisphere Calculator

For calculating the volume of hemisphere, using the calculator, we need to follow the below-mentioned steps -

 

Step 1: Input: Enter the radius 


Step 2: Click: Calculate Volume. By doing so, the radius we have given as input will get processed


Step 3: You will see the volume of the hemisphere in the output column
 

Professor Greenline from BrightChamps

Tips and Tricks for Using the Volume of a Hemisphere Calculator

Mentioned below are some tips to help you get the right answer using the Volume of a Hemisphere Calculator.

 

 

  • Know the formula: The formula for the volume of a hemisphere is ‘23πr3’, where ‘r’ is the radius (the distance from the center to the edge of the hemisphere).

 

  • Use the Right Units: Make sure the radius is in the right units, like centimeters or meters. The answer will be in cubic units (like cubic centimeters or cubic meters), so it’s important to match them.

 

  • Enter correct Numbers: When entering the radius, make sure the numbers are accurate. Small mistakes can lead to big differences, especially with larger numbers.
     
Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them When Using the Volume of a Hemisphere Calculator

Max from BrightChamps Saying "Hey"

Volume of Hemisphere Calculator Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Help William to find the volume of a ceramic bowl if its radius is 9 cm.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

The radius ‘r’ of a dome-shaped cup is 12 cm. What will be its volume?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Find the volume of the cube with side length ‘s’ as 6 cm and the volume of the hemisphere with radius 3 cm. After finding the volume of the cube and hemisphere, take their sum.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

The radius of a dome-shaped hall is 15 cm. Find its volume

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

John wants to set up a hemispherical aquarium. If the radius of the aquarium is 30 cm, help John to find its volume.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Using the Volume of a Hemisphere Calculator

1.What is the volume of the hemisphere?

Math FAQ Answers Dropdown Arrow

2.What is the value of ‘r’ that gets entered as ‘0’?

Math FAQ Answers Dropdown Arrow

3.What will be the volume of the hemisphere if the radius is given as 3?

Math FAQ Answers Dropdown Arrow

4.What units are used to represent the volume?

Math FAQ Answers Dropdown Arrow

5.Can we use this calculator to find the volume of a full sphere?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossary for the Volume of Hemisphere Calculator

  • Volume: It is the amount of space occupied by any object. It is measured either in cubic meters (m3) or cubic centimeters (cm3).

 

  • Radius: Distance measured from the center of a circle to its end. For example, in V = 2/3  × 3.14 × 63, ‘6’ is the radius. 

 

  • Pi (π): A mathematical constant that represents the ratio of a circle's circumference to its diameter. The value of pi is approximately equal to 3.14159

 

  • Cubic Units: Units used to measure the volume. We use m3 and cm3 to represent the volume.
     
Professor Greenline from BrightChamps

Explore More calculators

Math Teacher Background Image
Math Teacher Image

Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She has songs for each table which helps her to remember the tables

BrightChamps Logo
Follow Us
BrightChamps Facebook Page IconBrightChamps YouTube Channel IconBrightChamps Instagram IconBrightChamps LinkedIn Page Icon
INDONESIA
Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA
H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE
60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA
251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1)
Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2)
143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai
BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK
Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom