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Height of cylinder = 1. 8 m = 180 cm
Diameter of Base = 2 m = 200 cm
Radius = 100 cm
Volume of cylinder = pi r^2 h
= pi × 10000 × 180
= 1800000 pi cm^3
Now,
Diameter of Base of cone = 3 m = 300 cm
Radius of Base of cone = 150 cm
By the given condition,
Volume of cone = Volume of cylinder
=> pi r^2 h / 3 = 1800000 pi
=> 150 × 150 × h / 3 = 1800000
=> h = 1800000 × 3 / 150 × 150
=> h = 18000 × 3 / 225
=> h = 80 ×3
=> h = 240 cm
Height of cone = 240 cm
= 2.4 m
Diameter of Base = 2 m = 200 cm
Radius = 100 cm
Volume of cylinder = pi r^2 h
= pi × 10000 × 180
= 1800000 pi cm^3
Now,
Diameter of Base of cone = 3 m = 300 cm
Radius of Base of cone = 150 cm
By the given condition,
Volume of cone = Volume of cylinder
=> pi r^2 h / 3 = 1800000 pi
=> 150 × 150 × h / 3 = 1800000
=> h = 1800000 × 3 / 150 × 150
=> h = 18000 × 3 / 225
=> h = 80 ×3
=> h = 240 cm
Height of cone = 240 cm
= 2.4 m
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