math
posted by azhar .
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

sphere diameter is the side of the cube, so radius is 1/2.
cylinder diameter and height are the side of the cube, so r = 1/2, h=1
cube: v=1 a=6, so 6:1
sphere: v=4/3 pi (1/2)^3 = pi/6
a = 4pi(1/2)^2 = pi
so, 6:1
cylinder: v = pi (1/2)^2 = pi/4
area= pi/2 + 2pi(1/2)(1) = 3pi/2
so, 6:1
whoda thunk it? 
a cone is inscribed in a hemisphere which is inscribed inside a cylinder. show that the ratio of the volumes of cone to hemisphere to cylinder is 1:2:3
Respond to this Question
Similar Questions

Geometry
A sphere is inscribed in a cube. The diagonal of one face of the cube measures 4 units. Find the volume of the sphere. a.) 8Ï€âˆš2/3 units3 b.) 8âˆš2 units3 c.) 4Ï€ units3 
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? 
geometry
A cylinder is inscribed in a cube. If the edge of the cube is 3" long, find the volume of the cylinder. 
Science
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 
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
I am doing a project, are my answers correct?