The volume of the cap of a sphere of radius r and thickness h is V...
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The volume of the cap of a sphere of radius r and thickness h is V = h (3r - h), for 0 shsr. Complete parts (a)-(d). a. Compute the partial derivatives Vn and V,. V = %3D V, -O b. For a sphere of any radius, is the rate of change of volume with respect to r greater whenh 0.2r or when h=0.8r? The rate of change of volume with respect to r is greater when h = c. For a sphere of any radius, for what value of h is the rate of change of volume with respect to r equal to 1? The rate of change of volume with respect to r equals to 1 when h = (Type an exact answer, using x as needed.) d. For a fixed radius r, for what value of h (0shsr) is the rate of change of volume with respect to h the greatest The rate of change of volume with respect to h is the greatest when h = The volume of the cap of a sphere of radius r and thickness h is V = h (3r - h), for 0 shsr. Complete parts (a)-(d). a. Compute the partial derivatives Vn and V,. V = %3D V, -O b. For a sphere of any radius, is the rate of change of volume with respect to r greater whenh 0.2r or when h=0.8r? The rate of change of volume with respect to r is greater when h = c. For a sphere of any radius, for what value of h is the rate of change of volume with respect to r equal to 1? The rate of change of volume with respect to r equals to 1 when h = (Type an exact answer, using x as needed.) d. For a fixed radius r, for what value of h (0shsr) is the rate of change of volume with respect to h the greatest The rate of change of volume with respect to h is the greatest when h =
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V h 3rh0shs2r a Differentiate V 3rh 3rh h partially to get V 3ri3rx 2h 3h 2rh h a 3 ah 3D ... View the full answer
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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