Question

You could win a giant jar of M&Ms, if only you could guess how many are in the jar. You find a smallerjar such that the giant one is exactly four times the smaller one in each dimension. If you count 115M&Ms in the smaller jar, about how many should be in the larger jar?

Answer 1

There are 7360 M&Ms in larger jar.

Explanation:

We are given the following in the question:

A giant jar is such that it is exactly four times times the smaller jar in dimensions.

If r and h is the radius and height of the cylindrical jar respectively, then the dimensions of the larger are:

`R = 4r\\H=4h`

Number of M&Ms in smaller jar = 115

Volume of smaller jar =

`v = (1)/(3)\pi r^2 h`

Volume of larger jar =

`V =(1)/(3)\pi R^2 H=(64)/(3)\pi r^2 h`

Number of M&Ms in larger jar:

`v = (1)/(3)\pi r^2 h\rightarrow 115\\\\V=(64)/(3)\pi r^2 h\rightarrow 115* 64\\\\V=(64)/(3)\pi r^2 h\rightarrow 7360`

Thus, there are 7360 M&Ms in larger jar.