“an architect is planning to incorporate several stone spheres of different sizes into the landscaping of a public park, and workers who will be applying a finish to the exterior of the spheres need to know the surface area of each sphere. the finishing process costs $92 per square meter. the surface area of a sphere is equal to 4πr2, where r is the radius of the sphere.“in the table, select the value that is closest to the cost of finishing a sphere with a 5.50-meter circumference as well as the cost of finishing a sphere with a 7.85-meter circumference. make only two selections, one in each column.”circumference 5.50 m circumference 7.85 m finishing cost$900$1,200$1,800$2,800$3,200$4, 500

Part 1) The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

Part 2) The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

Step-by-step explanation:

Step 1

Find the radius of each sphere

we know that

The circumference of a circle is equal to

Find the radius of the sphere with a 5.50-meter circumference

For

assume

substitute and solve for r

Find the radius of the sphere with a 7.85-meter circumference

For

assume

substitute and solve for r

step 2

Find the surface area of each sphere

The surface area of sphere is equal to

Find the surface area of sphere with a 5.50-meter circumference

For

assume

substitute

Find the surface area of sphere with a 7.85-meter circumference

For

assume

substitute

step 3

Find the cost of finishing each sphere

we know that

To find out the cost , multiply the surface area by $92 per square meter

Find the cost of sphere with a 5.50-meter circumference

therefore

The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

Find the cost of sphere with a 7.85-meter circumference

therefore

The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

5.5

step-by-step explanation: