19 By approximately how much does the volume of a sphere inc

19. By approximately how much does the volume of a sphere increase when the radius is increased from 3.0 to 3.1 cm. ?

20. Express the relationship between a small change in x and the corresponding change in y in the form dy = f\'(x)dx.

Solve the problem. 19) V = 4/3pir^3 ,where r is the radius, in centimeteres . By approximately how much does the volume of a sphere increase when the radius is increased from 3.0 an to 3.1 an? (Use 3.14 for pi.) Express the relationship between a small change in x and the corresponding change in y in the form dy = f^\'(x) dx. 19. By approximately how much does the volume of a sphere increase when the radius is increased from 3.0 to 3.1 cm. ? 20. Express the relationship between a small change in x and the corresponding change in y in the form dy = f\'(x)dx.

Solution

for 19 you can also calculate dV

dV = 4*3pi R^2/3 dx = 4piR^2dx with dx=3.1-3 = 0.1

dV = 4pi(3^2)*0.1 = but will get 11.3