Question

Asked Apr 16, 2019

How do you do question 4

Step 1

To find the largest-volume right circular cylinder that fits inside a sphere of radius 1. Picturize the given situation for more clarity as follows.

Step 2

Observe from the figure that:

*r* = the radius of base of cylinder

*h* = height of cylinder

From the considered right angled triangle pythagorus theorem states that:

*(h/2*)^{2} + *r ^{2} = 1*

*r ^{2} = 1 - (h/2)^{2}*

Step 3

Thevolume of the cylinder inscribed in the sphere is

*V(h) = πr2h *

* = πh(1- h2/4)...*

Tagged in

Q: a), b) and c) please. I also forgot how to write interval notation....

A: To find the direction we have to graph the function v(t)= 3t^2-36t+105 ; [0,8]. And then we check th...

Q: Use the SubstitutionFormula, Integral from a to b f left parenthesis g left parenthesis x right par...

A: Let us assume y=(sec x)/4

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: Hello, How is tan^-1 (tan (6pi/7)=-pi/7 possible? I don't know how it should be a negative or to use...

A: First consider:

Q: I need help for this.

A: (a) Use the ratio test and compute the interval of convergence as follows.

Q: I have trouble with second derivatives. I need help from my last step on please.

A: Given equations are,

Q: 1. Estimate the volume of the solid that lies below the surface z = xy and above the following recta...

A: You have asked two unreleated questions in the same post. Further your first question has multiple s...

Q: What is the solution to the initial value problem below? y′=5ex +8x3 +x2 +4x y(0)=3 Do not include "...

A: The given differential equation is, y′=5ex +8x3 +x2 +4x.

Q: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...