A sphere of diameter 12 cm, is dropped in a right circular cylindrical vessel party filledwith water . if the sphere completely submerged in water, the water level , the water level in the cylindrical vessel rises by 3 5/9 cm .find the diameter of the cylindrical vessel
Answers
Diameter of the sphere = 12 cm
radius of the sphere = 6 cm
H be the height of the cylindrical vessel and R, r be the radii of the cylinder and sphere respectively.
H = 32 / 9 cm
Volume of water raised in the cylindrical vessel = Volume of sphere
⇒ πR2H = (4/3)πr3
⇒ πR2(32/9) = (4/3)π63
⇒ R2 = (4/3)x (9/32) x 63
⇒ R = 9 cm
∴ diameter of cylindrical vessel = 2R =18 cm.
Answer:
Step-by-step explanation:
Diameter of the sphere = 12 cm
radius of the sphere = 6 cm
H be the height of the cylindrical vessel and R, r be the radii of the cylinder and sphere respectively.
H = 32 / 9 cm
Volume of water raised in the cylindrical vessel = Volume of sphere
⇒ πR2H = (4/3)πr3
⇒ πR2(32/9) = (4/3)π63
⇒ R2 = (4/3)x (9/32) x 63
⇒ R = 9 cm
∴ diameter of cylindrical vessel = 2R =18 cm.
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