find the volume of a hemisphere if radius is r/2
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Step-by-step explanation:
Given:-
Radius of the hemisphere is r/2 units
To find:-
Find the volume of the hemisphere of radius is r/2 units
Solution:-
Radius of the given hemisphere=(r)=r/2 units
Volume of a hemisphere of radius is r units
=(2/3)πr^3 cubic units
On Substituting the value of r=r/2 then
=>V=(2/3)π(r/2)^3
=>V=(2×22×r×r×r)/(3×7×2×2×2)
=>V=(11×r×r×r)/(3×7×2)
=>V=11r^3/42 cubic units
=>V=(11/42 )r^3 cubic units
Answer:-
Volume of the given hemisphere is 11r^3/42 cubic units.
Used formula:-
Volume of a hemisphere of radius r units is (2/3)πr^3 cubic units
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