SOLUTION: Hi, a pond with a 6cm diametre, is the shape of a cylinder, it is 40cm deep, how much plastic liner will you need to cover the surface of the pond, and how many litres of water wil

Algebra ->  Surface-area -> SOLUTION: Hi, a pond with a 6cm diametre, is the shape of a cylinder, it is 40cm deep, how much plastic liner will you need to cover the surface of the pond, and how many litres of water wil      Log On


   



Question 334023: Hi, a pond with a 6cm diametre, is the shape of a cylinder, it is 40cm deep, how much plastic liner will you need to cover the surface of the pond, and how many litres of water will you need to fill the pond? and how do you work this out? Thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
In order for this to make sense, I will change 6 cm to 6m (A 6 cm pond???)
:
a pond with a 6 m diametre, is the shape of a cylinder, it is 40cm deep, how much plastic liner will you need to cover the surface of the pond,
:
Change 40 cm to .4 m deep
radius = 6/2 = 3 m
:
Find the area of the bottom of the pond
A = pi%2A3%5E2
A = 28.274 sq/m
:
Find area of the round side (circumference * the depth)
A = pi%2A6 * .4
A = 7.54 sq/m
:
total area to cover: 28.274 + 7.54 = 35.8 ~ 36 sq/m of plastic
:
how many litres of water will you need to fill the pond?
Find the volume
V = pi%2A3%5E2%2A.4
V = 11.31 cu/meter
:
Convert cubic meters to liters, 1000 * 11.31 = 11,310 liters.