Volume formulas

Know the volume formulas for the common solid figures. 

Write two equations one about the volume and the other about the height and girth. Find the common solution or solutions to the system of equations. The volume of this box is found with V = wwh, because the base is a square. Replacing the Fwith 1,000, the equation becomes 1,000 = w2h. Write the equation involving the height and girth with 50 = h + 2m + 2m or 50 = h + Aw. Solve the second equation for h, and you get h = 50 - Aw. Substitute this equivalence for h into the volume formula and solve. 

Write an expression for the volume using the relationship that h + Aw = 108. The base of the box is a square, so w represents both the length and the width. Solving for h, you get h = 108 - Aw. Substitute that into the volume formula, and you have V = r(108 - 4m). Create a table, trying out different values for w and seeing what volumes you obtain (see Table 20-2). 

Use the formula for the volume of a cylinder, replacing the Uwith the number of cubic feet. The radius of a circle is half the diameter, so, if the height is equal to the diameter, then the height is equal to twice the radius. Replace the h in the volume formula with 2r and solve for r. 

Note that the two volume formulas (3.28) and (3.30) differ only in the second term (R T B)/P under the square root sign in (3.28). 

Egloff and Kuder s molar volume formula, 21 Einstein s viscosity equation, 94 elastic paste, 93... 

Houllevigue s formula for latent heat of evaporation in capillary tube, 369 Huggins s molar volume formula, 21 hydrogen bonds, 3, 41 hydrometer, 14 Nicholson s, 14 hydrostatic balance, 14 pressure and vapour pressure, 367 hydroxyl bonds, 41 hylotropic phases, 229 hyperbola, 421, 423 hyperbolic paraboloid, 431 hyperboloid, 429, 430 hysteresis of contact angle, 166... 

Consider now the case in which the known advection velocity u(t, x, depends on For this case, the moment-transport equation is not closed, but the NDF transport equation is still given by Eq. (B.18). For the x direction, the finite-volume formula for the NDF is... 

As shown in the literatures, pL flows always present as droplet form. So it is important to pay attention to measuring the volume of droplets in pL flow measurement. The common methods are calculating volume by the size of the microvial or microchannel in which droplets are formed or measuring droplet diameters from their images and calculating volume by the ball volume formula ... 

The rate of volume loss of the particle is also given by the time derivative of the volume formula for a sphere. 

The product level in Drum 1201 was 950 cubic feet at 4 00 am. At 8 00 am, D-1201 has 1,950 cu ft of product. No fluid was removed from the drum. Calculate the flow rate into D-1201. (Refer to the volume formulas in Figure 4-14.)... 

Volume is the space occupied by a body. See Figures 14-1,14-2, and 14-3 for volume formulas for a sphere, cylinder, and rectangular solid. 

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