total surface area of hemisphere is 942cm2 find its volume. (take pi=22/7)
Answers
GIVEN:
Total surface area of hemisphere = 942cm²
TO FIND:
Volume of the hemisphere.
SOLUTION:
To find the volume of hemisphere, first we need to find the radius of hemisphere.
We know that,
TSA of a hemisphere = 3πr²
3 × 22/7 × r² = 942cm²
22/7 × r² = 942/3
r² = 314 × 7/22
r² = 2198/22
r = √99.90 = √100
r = 10
The radius of hemisphere is 10cm .
Now, let's find the volume of hemisphere.
Volume of hemisphere = 2/3 π r³
= 2/3 × 22/7 × (10)³
= 44/21 × 1000
= 44000/21
= 2095.23cm³
Therefore, the volume of hemisphere is 2095.23cm³.
Answer:
Given:
We have been given that the total surface area of hemisphere is 942cm^2.
To Find:
We need to find its volume.
Solution:
It is given that the total surface area of hemisphere is 942cm^2.
We know that the total surface area of the hemisphere is 3πr^2.
=> 3 × 3.14 × r^2 = 942cm^2
=> 9.42 × r^2 = 942cm^2
=> 9.42r^2 = 942cm^2
=> r^2 = 942/9.42
=> r^2 = 100
=> r = √100
=> r = 10cm
Now, We know that the volume of hemisphere is 2/3πr^3.
Substituting the values, we have
2/3 × 3.14 × 10^3
=> 2/3 × 3.14 × 1000
= 6280/3
= 2093.33cm^3
Therefore the volume of hemisphere is 2093.33cm^3.