Math, asked by lkmn7605, 2 months ago

Take an open box four sets of marbles ensuring marbles in each set are of same size and some water by placing the marbles and water in the box and attempt to the answer.two larger marbles occupy more volume in a given space

Answers

Answered by angelrose108
5

Answer:

You would simply find the volume of each size of marble and multiply them by 6 to determine the total volume taken by each set of marbles. On the other hand, if you just want to know how much more volume one takes over the other, you just need to compare the cube of the radii: For example:

Let s = the radius of the smaller marble = 1cm

Let l = the radius of the larger marble = 2cm

V_s=4/3pi(1)^3=4/3pi

V_l=4/3pi(2)^3=32/3pi

Total volume taken by six smaller marbles = 6(4/3pi)=8pi

Total volume taken by six larger marbles = 6(32/3pi)=64pi

How many times the volume of the smaller marbles do the larger marbles multiply:

(6(32/3pi))/(6(4/3pi))=(32/3pi)/(4/3pi)=32/4=8

Therefore, the larger marbles take up 8 times more space than the smaller marbles.

Answered by arshsood09
0

Answer:

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Step-by-step explanation:.

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