Question

An ant is sitting on the upper rim of a cylindrical can of soda that has a radius of 6 cm and a height of 8 cm. it sees a drop of soda at the opposite lower corner of the can. what is the minimum distance in centimeters that the ant must travel to get to the drop of soda?

Answer 1

The minimum distance the ant must travel to get to the drop of soda is 10 cm.

Step-by-step explanation:

The ant at the upper rim of the cylindrical can is facing a drop of soda at the opposite lower corner of the can. To find the minimum distance the ant must travel, we can consider the diagonal distance from the ant's starting position to the drop of soda. This diagonal forms a right triangle with the height and radius of the can. Using the Pythagorean theorem, we can calculate the minimum distance as follows:

Minimum distance = √((radius^2) + (height^2))

Minimum distance = √((6cm)^2 + (8cm)^2)

Minimum distance = √(36cm^2 + 64cm^2)

Minimum distance = √(100cm^2)

Minimum distance = 10cm