If a marble of radius 2.1 cm is put into a cylindrical cup full of water of radius 5cm and height 6 cm, then how much water flows out of the cylindrical cup?
(A) 38.8 cm3 (B) 55.4 cm3 (C) 19.4 cm3 (D) 471.4 cm3
Answers
Answered by
108
Hi ,
We know that ,
___________________________________
Marble volume = Sphere volume
= ( 4 / 3 ) × pi × r^3 (unit)^3
where , r is the radius of the sphere.
____________________________________
According to the given problem ,
Radius of the marble = r = 2.1 cm
If the marble is put into a cylidrical cup full of water ,
the quantity water flows out of it is equal to volume
of the marble.
Quantity of Water flows out = volume of the marble
= ( 4 / 3 ) × pi × r ^3
= ( 4 / 3 ) × ( 22 / 7 ) × ( 2.1 )^3
After cancellation we get ,
Quantity of water flows out = 38.808 cm^3
= 38.8 cm^3
[ Adjusting it upto one decimal place .]
Option A is correct.
I hope it helps you.
*****
We know that ,
___________________________________
Marble volume = Sphere volume
= ( 4 / 3 ) × pi × r^3 (unit)^3
where , r is the radius of the sphere.
____________________________________
According to the given problem ,
Radius of the marble = r = 2.1 cm
If the marble is put into a cylidrical cup full of water ,
the quantity water flows out of it is equal to volume
of the marble.
Quantity of Water flows out = volume of the marble
= ( 4 / 3 ) × pi × r ^3
= ( 4 / 3 ) × ( 22 / 7 ) × ( 2.1 )^3
After cancellation we get ,
Quantity of water flows out = 38.808 cm^3
= 38.8 cm^3
[ Adjusting it upto one decimal place .]
Option A is correct.
I hope it helps you.
*****
Answered by
22
Answer:
Step-by-step explanation:
(A) 38.8 cm^3
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