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VashaNatasha [74]
3 years ago
14

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 gian

t 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?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

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:

R = 4r\\H=4h

Number of M&Ms in smaller jar = 115

Volume of smaller jar =

v = \dfrac{1}{3}\pi r^2 h

Volume of larger jar =

V =\dfrac{1}{3}\pi R^2 H=\dfrac{64}{3}\pi r^2 h

Number of M&Ms in larger jar:

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

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

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