the volume of a cylinder is 300m³ then the volume of Cone have the same radius and height as that of the cylinder is
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approximately ans is 16m
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Given :-
- Volume of cylinder = 300m³ .
To find :-
- Volume of cone having the same radius and same height as that of cylinder .
Solution :-
Let us assume that,
- Radius of cylinder = Radius of cone = R m .
- Height of cylinder = Height of cone = H m .
so,
→ Volume of cylinder = π * (radius)² * height
→ Volume of cylinder = π * (R)² * H = πR²H m³ .
given that,
- πR²H = 300m³
then,
→ Volume of cone = (1/3) * π * (radius)² * h
→ Volume of cone = (1/3) * π * (R)² * H
→ Volume of cone = (1/3) * (πR²H)
→ Volume of cone = (1/3) * 300
→ Volume of cone = 100 m³. (Ans.)
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