Question

10.Luca wants to keep his collection of 850 ants in either the square container below or the

Answer 1

Answer:

Density of ants in the circular container will be greater by 2.3 ants per square inches.

Step-by-step explanation:

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Concept to solve this question is :- Density of the ants = Number of ants per square inches.

Volume of square container = (Side)²

                                               = 10²

                                               = 100 square inches

Density of the ants = $\frac{\text{Number of ants}}{\text{Volume of the container}}$

                                = $\frac{850}{100}$

                                = 8.5 ants per square inches

Similarly, area of the circular container = πr²

                                                                 = π(5)²

                                                                 = 25π

                                                                 = 78.5 square inches

Density of the ants = $\frac{850}{78.54}$

                               = 10.8 ants per square inches

Difference in the density = 10.82 - 8.5 = 2.3 ants per square inches

Therefore, density of ants in the circular container will be greater by 2.32 ants per square inches.