Jessie's Conic Decorators has invested $10,000 in packaging materials to ship out their decorations. They purchased square boxes that are 8 inches on each side.

a. What are the dimensions of the largest sphere, cone and pyramid that they can ship? For the sphere state the radius, for the cone state the radius and height, and for the pyramid state the base length and the height.

b. What is the volume for each of these shapes?

Question

Jessie's Conic Decorators has invested $10,000 in packaging materials to ship out their decorations.  They purchased square boxes that are 8 inches on each side. 

a.  What are the dimensions of the largest sphere, cone and pyramid that they can ship?  For the sphere state the radius, for the cone state the radius and height, and for the pyramid state the base length and the height. 

b.  What is the volume for each of these shapes?

anonymous · Answer

do you know the formula for volumes for each shape?

anonymous · Answer

the diameter of the sphere can be 8 inches max

anonymous · Answer

max diamter for cone is 8 inches as well, its height also 8 inches

anonymous · Answer

pyramid is 1/3 base*hieght
cone is1/3 base*h=piR^2h
sphere 4/3piR^3

anonymous · Answer

what's the maximum base and height the pyramid can have? Remember the box is 8in x 8in x 8in

anonymous · Answer

they didnt say in the problem

anonymous · Answer

you're supposed to figure that out. you're given a box that's 8inches in length, 8inches in width, and 8 inches in height

anonymous · Answer

what's the biggest ball (or sphere) you can fit inside the box? The ball can only be 8 inches across right?

anonymous · Answer

if it's to fit in the box, the ball can only be 8 inches across