UPSKILL MATH PLUS

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Hemisphere:
A one half of a sphere is called a hemisphere.
Volume of a hemisphere:
Let r be the radius of a sphere.
 
Volume of a hemisphere = 12 \times Volume of a sphere
 
= 12×43πr3
 
= 23πr3
 
Volume of a hemisphere = 23πr3 cu. units
 
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Example:
The radius of the hemisphere is 14 \ cm. Find the volume of the hemisphere in grams if 1 \ cm^3 = 0.4 \ g.
 
Solution:
 
Radius of the hemisphere (r) = 14 \ cm
 
Volume of the hemisphere = 23πr3 cu. units
 
= 23×227×143
 
= 23×227×14×14×14
 
= 5749.33 cm^3
 
Now, convert cm^3 to g.
 
1 \ cm^3 = 0.4 \ g
 
5749.33 \ cm^3 = 5749.33 \times 0.4 = 2299.732 \ g
 
Therefore, the volume of the hemisphere is 2299.732 \ g.
Important!
The value of \pi should be taken as 227 unless its value is shared in the problem.