Volume of the Hemisphere

The volume of the hemisphere

Hemisphere shapes are commonly found in everyday items like bowls, mushrooms, hats, cakes, and headphones. Geographically, an imaginary line known as the equator divides the Earth into two hemispheres: the northern and southern hemispheres.

When we talk about the volume of a shape, it's calculated by multiplying the area of its base by its height. For a hemisphere, which is half of a sphere, the volume can be expressed as:

V=πr 3

How to Find the Volume of a Hemisphere?

To calculate the volume of a hemisphere, we use the formula:

Volume of hemisphere = (2/3)πr³

Let's find the volume of a hemisphere with a radius of 14 units:

1. Step 1: Note down the radius of the hemisphere. Here, the radius (r) = 14 units.
2. Step 2: Substitute the radius value into the formula for the volume of a hemisphere, Volume = (2/3)πr³, and express the final answer in cubic units.
3. Step 3: After substituting r = 14, calculate the volume:

Volume = (2/3)π × 14³
Volume = (2/3)π × 2744
Volume ≈ 5749.33 cubic units

Therefore, the volume of the hemisphere with a radius of 14 units is approximately 5749.33 cubic units.
Hemisphere volume

Hemisphere Capacity

Hemisphere shapes are frequently encountered in daily life, seen in items like dishes, mushrooms, hats, cakes, and headphones. Geographically, the equator acts as an imaginary line dividing the Earth into two halves known as the northern hemisphere and the southern hemisphere.

When it comes to calculating the volume of a hemisphere, the formula for its capacity is given by V = 2/3πr³, where 'r' represents the radius of the hemisphere. This formula utilizes the concept that the volume of any upright structure can be determined by multiplying its base area by its height.

The volume of any standing position is its base × its height. Hemisphere
capacity is provided:

V = 2 / 3πr3

How Can You Find the Equatorial Volume?

The volume of a hemisphere can be calculated using the formula:

Volume of Hemisphere = 2πr³ / 3

Let's find the volume of a hemisphere with a radius of 14 units.

Step 1: Identify the radius of the hemisphere. In this case, the radius (r) is 14 units.

Step 2: Substitute the radius value into the volume formula. The formula is:

Volume of Hemisphere = 2πr³ / 3

Step 3: Plug in the radius (r = 14) into the formula and calculate the volume.

Volume of Hemisphere = 2π(14)³ / 3

Breaking it down further:

(14)³ = 14 × 14 × 14 = 2744

Then:

Volume of Hemisphere = 2π × 2744 / 3

Using π ≈ 22/7:

Volume of Hemisphere = 2 × 22/7 × 2744 / 3

Volume of Hemisphere = 2 × 22 × 2744 / 21

Volume of Hemisphere = 120,768 / 21

Volume of Hemisphere ≈ 5749.33 cubic units

So, the volume of a hemisphere with a radius of 14 units is approximately 5749.33 cubic units.