The difference between the total surface area abd curved surface area of a hemisphere is 154cm, find its volume
Answers
Step-by-step explanation:
First we have find the value of r by the given information. Then by putting the value of r in the volume of hemisphere we can finds its volume.
Given :
- The difference between the total surface area and curved surface area of a hemisphere is 154cm.
To find :
- Volume of Hemisphere =?
Step-by-step explanation :
1st Case :
Total Surface Area of Hemisphere = 3πr²
And Curved Surface Area of Hemisphere = 2πr²
It is Given that :
The difference between the total surface area and curved surface area of a hemisphere is 154cm.
•°• Total Surface Area of Hemisphere - Curved Surface Area of Hemisphere. = 154.
Substituting the values, we get,
3πr² - 2πr² = 154
πr² = 154
r² = 154/π
r² = 154 × (7/22)
r² = 7 × 7
r² = 49
r = 7.
Therefore, We got the Radius of Hemisphere = 7 cm.
2nd Case :
We know that,
Volume of Hemisphere = 2/3πr³
Substituting the values in the above formula, we get,
= 2/3 × 22/7 × (7)³
= 2/3 × 22/7 × 7 × 7 × 7
= 2 × 22 × 7 × 7/3
= 2156/3
= 718.66
Therefore, Volume of Hemisphere = 718.66 cm³.