Last updated on May 26th, 2025
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.
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".
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
Mentioned below are some tips to help you get the right answer using the Volume of a Hemisphere Calculator.
Calculators mostly help us in quick solutions. For calculating complex math questions, students must know the intricate features of calculator. Given below are some common mistakes and solutions to tackle these mistakes.
Help William to find the volume of a ceramic bowl if its radius is 9 cm.
We find the volume of the ceramic bowl as 1526.04 cm3
To find the volume, we use the formula:
V = 23πr3
Here, the value of ‘r’ is given as 9
No, we have to substitute the value of ‘r’ in the formula:
V = 2/3πr3 = 23 × 3.14 × (9)3 = 2/3 × 3.14 × 729 = 2 × 3.14 × 243 = 1526.04 cm3
The radius ‘r’ of a dome-shaped cup is 12 cm. What will be its volume?
The volume is 3617.28 cm3
To find the volume, we use the formula:
V = 2/3πr3
Since the radius is given as 12, we can find the volume as
V = 23πr3 = 23 × 3.14 × (12)3 = 23 × 3.14 × 1728 = 2 × 3.14 × 576 = 3617.28 cm3
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.
We will get the sum as 272.52 cm3
For the volume of a cube, we use the formula ‘V = s3’ and for the hemisphere, we use ‘V = 2/3πr3’.
Volume of cube = s3 = 63 = 6 × 6 × 6 = 216 cm3
Volume of hemisphere = 2/3πr3 = 2/3 × 3.14 × (3)3 = 2/3 × 3.14 × 27 = 2 × 3.14 × 9 = 56.52 cm3
The sum of volume = volume of cube + volume of hemisphere = 216 + 56.52 = 272.52 cm3.
The radius of a dome-shaped hall is 15 cm. Find its volume
We find the volume of the dome-shaped hall as 7065 cm3
Volume = 23πr3
= 2/3 × 3.14 × (15)3
= 2/3 × 3.14 × 3375
= 2 × 3.14 × 1125
= 7065 cm3
John wants to set up a hemispherical aquarium. If the radius of the aquarium is 30 cm, help John to find its volume.
The volume of the hemispherical aquarium is 56520 cm3
Volume of hemispherical aquarium = 2/3πr3 = 2/3 × 3.14 × (30)3
= 2/3 × 3.14 × 27000
= 2 × 3.14 × 9000
= 56520 cm3
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.
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