Answer:
There are 7360 M&Ms in larger jar.
Step-by-step 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:
[tex]R = 4r\\H=4h[/tex]
Number of M&Ms in smaller jar = 115
Volume of smaller jar =
[tex]v = \dfrac{1}{3}\pi r^2 h[/tex]
Volume of larger jar =
[tex]V =\dfrac{1}{3}\pi R^2 H=\dfrac{64}{3}\pi r^2 h[/tex]
Number of M&Ms in larger jar:
[tex]v = \dfrac{1}{3}\pi r^2 h\rightarrow 115\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 115\times 64\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 7360[/tex]
Thus, there are 7360 M&Ms in larger jar.
