Question

Prove that a rectangular box of given volume inscribed in a sphere of radius r is...

Prove that a rectangular box of given volume inscribed in a sphere of radius r is a cube.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
what is the largest volume that a cone inscribed in a sphere of radius 9 cm...
what is the largest volume that a cone inscribed in a sphere of radius 9 cm can have?
If the cylinder of largest possible volume is inscribed in a given sphere, determine the ratio...
If the cylinder of largest possible volume is inscribed in a given sphere, determine the ratio of the   volume of the sphere to that of the cylinder.
Find the volume of the largest right circular cylinder that can be inscribed in a sphere...
Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 4
The sphere is the shape with the smallest surface for a given volume. to prove this...
The sphere is the shape with the smallest surface for a given volume. to prove this statement properly requires variational analysis. here we want to confirm this result only for a selection of highly symmetric shapes by calculating the ratio of surface to volume. find these ratios for each of these shapes. sphere, cylinder, cube,pyramid, tetrahedron, cone. does this statement hold for six shapes?
A sphere with a volume V and a radius of r is compressed (flattened) into the...
A sphere with a volume V and a radius of r is compressed (flattened) into the shape of a cylinder with a radius of r and a height of r/4. The volume remains constant. Show that the surface-to-volume ratio of the sphere is less than that of the flattened cylinder.
Use Lagrange multipliers to find the volume of the largest rectangular box with edges parallel to...
Use Lagrange multipliers to find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid. 9x^2 + 9y^2 + 4z^2 = 324
A sphere of radius R is completely submerged in a container of water. The sphere displaces...
A sphere of radius R is completely submerged in a container of water. The sphere displaces 1m^3 of water. What is the buoyant force? Assume the density of water ρw = 1000kg/m3 . Hint: The volume of a sphere is given by V = 4/3πR3 Then, find the density of the sphere given that its weight in air is 15, 000 kg · m/s2 and the radius R = 1m
Use Lagrange multipliers to find the dimensions of the rectangular box of maximum volume, with faces...
Use Lagrange multipliers to find the dimensions of the rectangular box of maximum volume, with faces parallel on the coordinate planes, that can be inscribed in the first octant of the ellipsoid 4x^2 + y^2 +4z^2=192
Find the circular cylinder of largest lateral area which can be inscribed in a sphere of...
Find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius 4 feet. (Surface area of a cylinder of radius r and height h is 2πrh.)
A solid non-conducting sphere of radius R has a nonuniform charge    distribution of volume charge...
A solid non-conducting sphere of radius R has a nonuniform charge    distribution of volume charge density ρ = rρs/R, where ρs is a constant and    r is the distance from the centre of the sphere.    Show that:    (a) the total charge on the sphere is Q = π ρsR3 and    (b) the magnitude of the electric field inside the sphere is given by the    equation        E = (Q r2 / 4π ε0R4)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT