Science
posted by Waqas .
calculate the ratio of the area to the volume for a unit cube a unit sphere inscribed inside the cube and a right cylinder incribed inside the cube

Let the unit cube side be a. Its volume is a^3. Its area is 6a^2. The ratio is a/6.
The inscribed sphere has a volume of (pi/6)a^3 and an area of pi*(a/2)^2*4 = pi a^2. The ratio is a/6.
The inscribed right cylinder has a volume (pi/4)a^2*a = pi*a^3/4 and an area a*pi*a + 2 pi (a/2)^2
= (3/2) pi a^2
The ratio is a/6.
Interesting result
Respond to this Question
Similar Questions

geometry
Side of cube=6cm Sphere is placed in cube.Calculate volume of cube.Calculate volume of sphere.What percentage of the space in the cube does the sphere occupy? 
geometry
a cube is placed inside a right circular cylinder. How may cubic feet of water will file the cylinder that has the cube in it? 
bio
How does the surface areatovolume ratio of a 1mm cube compare to the surface areato volume ratio of a 3mm cube? 
math
calculate ratio of the area to volume for unit cube, a unit sphere inscribed inside the cube and as right cylinder inscribed inside the cube 
Math
A solid sphere just fits inside a cube that has an edge length equal to the diameter of the sphere. The edge length of the cube is 5.8 cm. What is the volume of air in the cube to the nearest cubic centimetre? 
GRE prep
A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube. 
Math
I really do not want to fail this project, could anyone please help me understand this and go through step by step with me? 
Math, Please check answers
I do not want to fail this, could you please help me with number 1 and 3.D, and then check my other answers? 
Math
1. Find and simplify the volumetosurfacearea ratio for each of the three possible ice cube shapes. You can use this chart. Shape S/A FormulaVolume Formula Cube  S.A=6s^2  V=s^3 SphereS.A+4 pi r^2V=4/3 pi r^3 Cylinder S.A=2 … 
Math
I am doing a project, are my answers correct?