Aright circular cylinder is inscribed in a sphere with diameter 4cm as shown. if the cylinder is open at both ends, find the largest possible surface area of the cylinder

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

  ( see in the below diagram ),

Thus, the surface area of the cylinder,

Differentiating with respect to r,

Again differentiating with respect to r,

For maximum or minimum,

Since, for r = √2,

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

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step-by-step explanation:

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph