SOLUTION: Two similar bottles of 'Sunshine Cola' have lengths that are 12cm and 15cm. a) The volume of the large bottle is 1.5 litres. Calculate the volume of the smaller bottle. b) The a

Question 148492: Two similar bottles of 'Sunshine Cola' have lengths that are 12cm and 15cm.
a) The volume of the large bottle is 1.5 litres. Calculate the volume of the smaller bottle.
b) The area of the label on the small bottle is 12cm squared. Calculate the area on the label of the large bottle.
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
Well it is a cola in a bottle so we need to find the (very important) that we'll used in the calculations. Next, we'll assume it's a cola in can with cylindrical shape because ther'es no formula for finding area & volume for "curvature" bottle (2 curves? 3 curves?, we don't know)
1)For the where the height will be the lengths given.
Let's follow the following designation,
-------------- smaller size
-------------- bigger size
Since is given, we'll solve this first,

We have to remember,

-----------> if you want exact =5.6 cm
And remember because they're similar right as stated.
So for = 1.18 Liters ---> smaller
2) for the Area of the bigger cola, we need to get the =
=
------------> bigger

Thank you,
Jojo

RELATED QUESTIONS
1. A liquid is sold in plastic bottles of two sizes. The two bottles are exactly similar... (answered by ikleyn)
good morning. my brain is going blank on my problems, can you help me on this one... (answered by stanbon)
8. a football coach has five guards and seven tackles trying out for the squad.as a final (answered by stanbon)
A CONTAINER IS FILLED WITH 5 BOTTLES OF WHITE WINE, 3 BOTTLES OF RED WINE AND 1 BOTTLE OF (answered by Theo)
is it possible for a triangle to have side lengths of 12cm, 15cm and... (answered by ikleyn)
suppose that at another plant Coca-Cola is filling bottles with the more traditional 20... (answered by stanbon)
At a state fair, a game involves throwing a ring onto one of 60 bottles. If it’s is... (answered by ikleyn)
Bottles of a popular cola are supposed to contain 300ml of cola. There is some variation... (answered by stanbon)
A certain brand of soft drink comes in similar bottles of two sizes, the ordinary and... (answered by Cromlix)