SOLUTION: You are transplanting a fern from a pot in the shape of a rectangular prism into one in the shape of a cylinder. The height of the prism is triple its length. Its length is 8 cm gr
Algebra.Com
Question 1151724: You are transplanting a fern from a pot in the shape of a rectangular prism into one in the shape of a cylinder. The height of the prism is triple its length. Its length is 8 cm greater than its width. The two pots have the same volume and the same height. What is the algebraic expression for the radius of the cylindrical pot?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
You are transplanting a fern from a pot in the shape of a rectangular prism into one in the shape of a cylinder.
The height of the prism is triple its length.
Its length is 8 cm greater than its width.
The two pots have the same volume and the same height.
What is the algebraic expression for the radius of the cylindrical pot?
:
let L = the length of the prism
then
(L-8) = the width
and
3L = the height of the prism and the height of the cylinder
:
Cylinder Vol = Prism vol
simplify, divide thru by 3L
:
r = is the radius
RELATED QUESTIONS
the cylinder has a hole cut from it in the shape of a rectangle prism. The cylinder is 12 (answered by KMST)
Bob cut a piece of wood from a tree. What is the shape of the wood?
A piece of wood... (answered by ikleyn)
Jula is constructing a pot to hold her precious Mathangias. The pot is square based... (answered by ikleyn)
Jula is constructing a pot to hold her precious Mathangias. The pot is square based... (answered by ikleyn)
A hollow block in a shape of rectangular prism has three holes in a shape of a right... (answered by ikleyn)
A block of lead has the shape of a rectangular solid whose dimensions are 1/2 in by 3/4... (answered by stanbon)
Need to find the surface area for the composite shape and leave in terms of pi. There are (answered by ikleyn)
how do you do this problem?
The three-dimensional figure below is a cylinder with a... (answered by Alan3354)
A fish tank, in the shape of a rectangular prism with dimensions 51 cm by 39 cm by 28 cm, (answered by ikleyn)