Table of Content
- What is Hemisphere Volume ?
- Total Surface Area of the Hemisphere
- Formula for Hemisphere Volume
- Hemisphere: Finished Illustrations
What is Hemisphere Volume ?
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.
Total Surface Area of the Hemisphere
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
Formula for Hemisphere Volume
The volume of hemisphere = ⅔πr^3
where, π = 3.14 (constant value)
r = radius of the circle
Hemisphere: Finished Illustrations
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
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?