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Typically, we see different two- and three-dimensional shapes with unique features.
Because it has all three axes, three-dimensional objects cannot be represented on paper.
The sphere is a three-dimensional object that is created by rotating a two-dimensional circle.
However, the hemisphere is only a portion of the sphere.
The hemisphere is created when a sphere is split evenly in half at its centre.
Source: Safalta.com
Bowl is the best example of a hemisphere.
There are only two hemispheres on Earth: the southern and the northern.
Table of Content
- What is Hemisphere Volume ?
- Total Surface Area of the Hemisphere
- Formula for Hemisphere Volume
- Hemisphere: Finished Illustrations
The area that the hemispherical object takes up is known as the hemisphere's volume.
When a hemisphere is larger, it takes up more space, and when it is smaller, it takes up less space.
Half of a sphere is called a hemisphere.
It features one curved surface and one flat circular base.
The hemisphere's volume is expressed in cubic units.
Hemisphere's volume = (2/3)πr^3
where r is the circle's radius and π is a constant term with a value of 3.14.
The total surface area of the hemisphere is defined as the area that includes the base and the outer surface of the hemisphere.
The hemisphere has two surface areas, total surface area and curved surface area, which are both addressed below:
Curved Surface Area - It is described as the size of the hemisphere's exterior.
It just covers the hemisphere's outside.
The curved surface area of the Cylinder = ½ of the total surface area
= ½ × 4πr^2
= 2πr^2
Surface Area Overall - The hemisphere's base and outer surface together make up its total surface area.
It can alternatively be described as the total of the curved surface area and the hemisphere's base area.
The hemisphere's entire surface area is equal to 3πr^2
The area occupied by a hemispherical item is referred to as its volume.
The sphere's hemisphere is exactly half of it.
A hemisphere's volume is measured in cubic units, such as metres, centimetres, and millimetres.
The volume of the base and curve are included in the hemisphere's total volume.
The following is the formula for a hemisphere's volume:
The volume of hemisphere = ⅔πr^3
where, π = 3.14 (constant value)
r = radius of the circle
Question 1: Assume that the hemisphere's diameter is 8 cm.
Find the hemisphere's volume next.
Solution: Given that
Diameter of hemisphere d = 8cm
We know that, d = 2r
then, r = 4cm
The volume of hemisphere = 2/3πr^3
= 2/3×3.14×(4)^3
= 133.97 = 134 nearly
Que.2 The radius of a hemisphere is 4.5 cm.
Calculate the hemisphere's curved surface area.
Solution: Given data
r = 4.5m
Curve surface area =?
CSA = 2πr^2
= 2×3.14×4.5×4.5
= 127.17m^2
Que.3 a hemisphere with a 3 cm radius.
Find the hemisphere's entire surface area.
Ans – Given r = 3cm
TSA = 3πr^2
= 3×3.14×3×3
= 84.78
Que.5 When the hemisphere's radius is 2 cm, calculate its surface area.
Given r = 2cm
The surface area of the hemisphere = 2πr^2
= 2×3.14×2×2
= 25.12
If the hemisphere's radius is 3 cm, how can you determine its volume?
Define the term hemisphere?
By splitting the sphere into two equal pieces, a hemisphere is created. It is the division of a spherical into its component components at the plane in its centre. The world, a bowl, a cup, an ice cream scoop, a hat, etc. are a few examples of hemispheres.
The area that a hemisphere occupies is known as its volume. Cubic units are used to express it.The formula for the volume of a hemisphere is 3πr^3.
The outside of the hemisphere is the curved surface area.. The formula of the curved surface area of the hemisphere is 2πr^2.
The sum of the base area and the curved surface area is the total surface area. The formula of the total surface area is 3πr^2.
