Answer:
Hi, i hope this helps, 24 cylindrical bottles are required to fill the liquid from one hemispherical bowl.
Step-by-step explanation:
The volume of liquid in the hemispherical bowl is equal to half the volume of a sphere with a diameter of 24 cm.
The volume of liquid in the bowl can be calculated using the formula for the volume of a sphere: V = (4/3) * pi * r^3, where r is the radius of the sphere (half the diameter), which is 12 cm.
Volume of liquid in the bowl = (1/2) * (4/3) * pi * 12^3
Volume of liquid in the bowl = (1/2) * (4/3) * pi * 1728
Volume of liquid in the bowl = 288 * pi cubic cm
Next, we need to calculate the volume of liquid in one cylindrical bottle with a diameter of 4 cm and a height of 3 cm.
The volume of a cylinder can be calculated using the formula: V = pi * r^2 * h, where r is the radius of the cylinder and h is the height.
The radius of the cylindrical bottle is half the diameter, which is 2 cm.
Volume of one cylinder = pi * 2^2 * 3
Volume of one cylinder = 12 * pi cubic cm
To find out how many cylindrical bottles are needed to fill the liquid from the hemispherical bowl, we divide the volume of liquid in the bowl by the volume of one cylinder:
Number of bottles = (288 * pi) / (12 * pi)
Number of bottles = 24
Therefore, 24 cylindrical bottles are required to fill the liquid from one hemispherical bowl.
