Please answer maths legends and genius
Answers
Answer:
9 bottles
Step-by-step explanation:
Diameter of hemispherical bowl = 9 cm.
Inner radius of hemispherical bowl = 4.5 cm.
Volume of the hemispherical bowl
= (2/3) πr³
= (2/3) * (22/7) * (4.5)³
= 190.92 cm³.
Diameter of cylindrical bottles = 3 cm.
∴ Radius of cylindrical bottles = 3/2 cm.
Height of cylindrical bottle h = 3 cm.
Volume of cylindrical bottle:
= πr²h
= (22/7) * (3/2)² * 3
= 21.214 cm³
Number of bottles required:
⇒ Volume of the hemispherical bowl/volume of the cylindrical bottle
⇒ 190.92/21.214
⇒ 9.
Therefore,number of bottles required = 9.
Hope it helps!
Answer:
9 bottles are required.
Step-by-step explanation:
We know that the volume of hemispherical bowl = 2 / 3 πr^2 , where r is the radius of the bowl.
So,
Volume of the bowl = 2 / 3 π ( diameter )^2
⇒ 2 / 3 x 22 / 7 x ( 9 / 2 )^3 cm^2
⇒ 2 / 3 x 22 / 7 x 243 / 8 cm^2
⇒ 11 x 27 x 9 / 14
⇒ 2673 / 14
Now, if we fill the water in the bottles ( of the given measurements ).
Volume of bottle = Total amount of water in 1 bottle
As, we know that the volume of bottle( cylinder ) is πr^2 h.
Total amount of water in bottle = 22 / 7 x ( 3 / 2 )^2 x 3 cm^2
Total amount of water in bottle = 594 / 28 cm^2
Now,
Bottles required = volume of bowl / total amount of water in one bottle
Bottles required = ( 2673 / 14 ) / ( 594 / 28 )
Bottles required = 2673 x 2 / 594
Bottles required = 9
Therefore 9 bottles are required to be filled with liquid.