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Consider a sphere of radius r.
Let the z-axis be the vertical axis and suppose the sphere's centre is at z = 0. [Thus the sphere goes from z = -r to z = r.]
Suppose the volume of liquid in it is V.
Then you need to sove
3V/pi = 3r2z - z3 + 3r3 - r3 = 3r2z - z3 + 2r3 for z.
Then, the depth is z + r
What else can I help you with?
The formula for calculating the volumen of a box is?
volume = width x height x depth
The formula for calculating the volume of a wooden block?
length times width times depth
What is a three-demesional geometric figure?
Three dimensional objects would be a sphere, cube, pyramid, cylinder, cones, etc. Anything with a width, height, and depth is three-dimensional.
What is the result of the formula 3.14 r 2 x Depth?
That's the amount of water in a round pool whose radius is 'r' .
How do you calculate volume using prismoidal formula with an example?
Obtaining a volume using the prismoidal formula requires you 4 data: H - the depth of the solid A1 & A2 - the area at ends of the solid Am - the area at mid-depth of the solid (you may draw the plan view of the solid with the top and bottom faces, connect the joints which offset each other, obtain the center of each line drawn such way and connect the dots. with this, you may be able to obtain your Am) After collecting the required data, apply the following formula: V = H / 6 * (A1 + 4*Am + A2) Hope this answers your question. -janssen
The formula for calculating the volumen of a box is?
volume = width x height x depth
The formula for calculating the volume of a wooden block?
length times width times depth
What is the formula for calculating depth when using sonar?
The formula for calculating depth using sonar is depth = (velocity of sound in water x time taken for sound wave to return) / 2. This formula takes into account the speed of sound in water and the time it takes for the sound wave to travel to the bottom and back to the receiver.
What is the formula for calculating pressure at a certain depth in a fluid, where p represents the pressure, p0 is the pressure at the surface, g is the acceleration due to gravity, and h is the depth of the fluid?
The formula for calculating pressure at a certain depth in a fluid is: p p0 (g h), where p represents the pressure, p0 is the pressure at the surface, g is the acceleration due to gravity, and h is the depth of the fluid.
What is the formula for calculating the slope of a staircase, incorporating the measurements of the stair rise and run?
The formula for calculating the slope of a staircase is: slope rise / run. This means you divide the height of the stair rise by the depth of the stair run to determine the slope of the staircase.
What is formula is used for calculating the volume of a box?
L x B x D or Length times Bredth times Depth
What is the formula for calculating the slope of a staircase, incorporating the concept of stair rise over run?
The formula for calculating the slope of a staircase is Rise divided by Run. This means you divide the height of each step (Rise) by the depth of each step (Run) to find the slope of the staircase.
What is the mathematical formula for calculating the volume of sand in a piece of land?
Is the land flat? if so you'd simply multiply the area of land by the depth of sand.
Is a sphere 3D or 2D?
A sphere is three-dimensional. It has height, width and depth.
Upon what factors does liquid pressure depend?
Atmospheric pressure Density of the liquid Gravitional field strength in the area the liquid is in The distance from the surface of the liquid i.e. depth Pressure in a liquid=Atmospheric pressure +(Depth X Gravity strength X Density) There might be more I don't know about
How does a pressure exerted by a liquid change with depth?
The pressure exerted by a liquid increases with depth. This increase is due to the weight of the liquid above pushing down, creating higher pressure at greater depths. The relationship between pressure and depth can be calculated using the formula P = rho * g * h, where P is the pressure, rho is the density of the liquid, g is the acceleration due to gravity, and h is the depth.
What is the difference between liquid pressure and depth?
Liquid pressure depends on depth. It can be calculated from liquid density times depth.
