At the park there is a pool shaped like a circle with diameter 22 yd. A ring-shaped path goes around the pool. Its width is 6 yd. We a

Question

At the park there is a pool shaped like a circle with diameter 22 yd. A ring-shaped path goes around the pool. Its width is 6 yd.
We are going to give a new layer of coating to the path. If one gallon of coating can cover 5 yd”, how many gallons of coating do we need? Note that coating
comes only by the gallon, so the number of gallons must be a whole number. (Use the value 3.14 for n).

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2 months 2021-10-20T22:13:35+00:00 1 Answer 0 views 0

106 gal

Step-by-step explanation:

step 1

Find the area of the path

we know that

The area of the path is given by the formula

where

r_2 is the radius of the pool plus the width of the path

r_1 is the radius of the pool

we have

—> the radius is half the diameter

substitute

assume

step 2

Find the gallons of coating needed

Divide the area of the path by 5

so

Round up

therefore

106 gal