Imagine slicing through a sphere with a plane (sheet of paper). the smaller piece produced is called a spherical cap. its volume is v= πh2(3r−h) /3, where r is the radius of the sphere and h is the thickness of the cap. find dr/dh for a spherical cap with a volume of 5π/ 3 m3. evaluate this derivative when r=2 m and h=1 m. what is the expression for dr /dh? and evaluate this derivative when r= 2m and h = 1m.

a

explanation:

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl