The radius of a sphere was measured and found to be 20 cm with a possible error in measurement of at most 0.02 cm. What is the maximum error in using this value of the radius to compute the volume of the sphere

D(V)  = 100,48 cm³

Step-by-step explanation:

The volume of a sphere is:

V(s) = 4/3 π*r³

Where r is the radius of the sphere

If we take derivative of V  respect r

D(V)/ dr  =  4/3*3*π*r²    ⇒ D(V)/ dr  = 4*π*r²   ⇒ D(V) =  4*π*r²*dr

We know:

r = 20 cm     and   dr  =  0,02  ( at most)

Then

D(V)  = 4*π*(20)²*0.02  cm³

D(V)  = 32*π      

D(V)  = 100,48 cm³

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.