The capacity of a small cylindrical tank is 40 litres. A large cylindrical tank is twice as tall as the small tank and it's diameter is three times the diameter of the small tank. Calculate the capacity of the large tank. Thanks.

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- April 15th 2009, 04:14 AMBabyMiloHelp needed...thanks
The capacity of a small cylindrical tank is 40 litres. A large cylindrical tank is twice as tall as the small tank and it's diameter is three times the diameter of the small tank. Calculate the capacity of the large tank. Thanks.

- April 15th 2009, 04:31 AMADARSH
Volume of a cylinder is

Divide both the equation

- April 15th 2009, 04:42 AMBabyMilo
THanks for you respond!

So it's pi*3r^2*2h=answer?

I dont quite get your equation, please explain it further!

And what would be the answer? - April 15th 2009, 04:53 AMADARSH
- April 15th 2009, 05:09 AMBabyMilo
So you are saying 18 is the volume of the smaller cylindrical tank ?

but shouldnt it be 40? as 40 litres= 40cm^3

cant you just tell me the answer? - April 15th 2009, 05:17 AMSoroban
Hello, BabyMilo!

Quote:

The capacity of a small cylindrical tank is 40 litres.

A large cylindrical tank is twice as tall as the small tank

and it's diameter is three times the diameter of the small tank.

Calculate the capacity of the large tank.

Let = radius of the small tank.

Let = height of the small tank.

The volume of the small tank is: . litres.

The radius of the large tank is: .

The height of the large tank is: .

The volume of the large tank is: .

So we have: .

. . . . . . . . .

Therefore: . litres.

- April 15th 2009, 05:23 AMBabyMilo