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Which is greater: the area of a bubble whose radius is 7 cm or the total area of seven bubbles, each of which has a radius of 1 cm? explain.

1 Answer

6 votes

To determine which is greater, we can calculate the area of each bubble and compare them.

The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

For the single bubble with a radius of 7 cm, the area would be:

A = π(7 cm)^2 = 153.94 cm^2

For each of the seven bubbles with a radius of 1 cm, the area would be:

A = π(1 cm)^2 = 3.14 cm^2

The total area of all seven bubbles would be:

Total area = 7 x 3.14 cm^2 = 21.98 cm^2

Comparing the two areas, we can see that the area of the single bubble with a radius of 7 cm is greater than the total area of the seven bubbles with a radius of 1 cm.

Therefore, the area of a bubble with a radius of 7 cm is greater than the total area of seven bubbles, each with a radius of 1 cm.

answered
User Akhneyzar
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