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The bowl of a circular birdbath has an inside diameter of 18 inches, as shown in the drawing below.
When the bowl of the birdbath is full, which of the following is the closest to the area of the top surface of the water? Use 3.14 for π.


1017 square inches


254 square inches


113 square inches


57 square inches

please someone answer.

Respuesta :

Answer:

The area of the surface of the water is approximately 254 square inches.

Step-by-step explanation:

When the bowl of the birdbath is full, the top surface area of the water is equal to the area of the circumference that contours the bowl, therefore in order to calculate its area we need to apply the following formula:

[tex]area = \pi*r^2\\r = \frac{d}{2} = \frac{18}{2} = 9 \text{ in}\\area = 3.14159*(9)^2 = 254.46879 \text{ in}^2[/tex]

The area of the surface of the water is approximately 254 square inches.