you need to work backward for find the radius from the volume then work forward and find the surface area.
The volume is 36 Pi cm3
The formula for the volume inside of a sphere is 4/3 Pi x radius3
so 36xPi=4/3 Pi x radius3
So 108/4=the radius3 so 27 is the radius cubed hence 3 is the radius. This tells us the surface area is 4xPix32 =36Pi cm squared.
So in the surface area is also 36 but the units are square cm.
The spherical shape is the smallest surface area for a given volume. This comes about naturally when a surface under pure surface tension contains a fluid volume.
make it spherical
A sphere volume = 4/3 pi r cubed
surface area divided by volume
Volume
The spherical shape is the smallest surface area for a given volume. This comes about naturally when a surface under pure surface tension contains a fluid volume.
Bubbles are "generally" round due to the air pressure acting equally on them from all points around the outside of the bubble. A bubble is round as it is the most energy efficient configuration. The spherical shape also maximizes the ratio of the volume to the surface area.
make it spherical
A sphere volume = 4/3 pi r cubed
You need to:* Calculate the surface area * Calculate the volume * Divide the surface area by the volume
A sphere is the shape that has the largest volume and smallest surface area. the surface tension pulls the surface of the bubble in but the volume of air inside the bubble remains constant so the bubble wants to become a sphere.
Using the ideal gas law, we know that V1/T1 = V2/T2, where V represents volume and T represents temperature. The volume of the bubble at the surface can be found using the formula: (V2) = (V1)*(T2/T1). Given that the temperature at the surface is 7.0C=280.15K and at 15m below, it's 280.6K, we can calculate the volume to be 2.005 cm3.
surface area divided by volume
You measure or calculate the surface area; you measure or calculate the volume and then you divide the first by the second. The surface areas and volumes will, obviously, depend on the shape.
Volume
The spherical shape of raindrops is due to surface tension, which causes water molecules to be pulled towards each other, minimizing surface area. This results in a spherical shape, as it has the smallest surface area for a given volume.
The maximum volume with the least surface area is enclosed in a sphere.That's why soap bubbles, balloons, and stars settle into spherical shapes.