Question

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

How much greater would the ant density, in ants per square inch, be in the circular container
than the square container? Round your answer to the nearest tenth.

Answer 1

Answer:

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

Step-by-step explanation:

This question is incomplete; find the complete question in the attachment.

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.