Mathematics, 02.08.2019 10:00 kennyg02

What is the diameter of sphere with a surface area of 615.44 mm2? use 3.14 for π. a. 14 mm b. 12.56 mm c. 24.5 mm d. 7 mm

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The diameter of the circle is: " 14 mm " .

Note:

The formula for the surface area is:

a = 4 * π * r² ;

in which: "a = surface area of sphere. " ;
π = 3.14;
r = radius;
Note: d = diameter = 2r ; r = radius = d/2 ;

We want to find the diameter, "d" ;

Given: a = 615.44 mm² .

→ a = 4 * π * r² ;

→ 615.44 mm² = 4 * 3.14 * r² ;

If we can solve for "r" (in "mm"); we can solve for "d" (diameter);

Note: 4 * 3.14 = 12.56 ;

Rewrite as:

→ 615.44 mm² = 12.56 * r² ;

Divide each side of the equation by "12.56" ;

→ 615.44 mm² / (12.56) = (12.56 * r²) / 12.56 ;

→ 49 mm² = r² ;

↔ r² = 49 mm²;

Take the positive square root of EACH SIDE of the equation;
to isolate "r" on one side of the equation; & to solve for "r" (the "radius");

↔ √(r²) = √(49 mm²) ;

to get:

r = 7 mm ;

Now, to find the diameter, "d" ;

d = 2r = 2 * 7mm = 14 mm .

The diameter of the circle is: " 14 mm " .

Answer from: Quest

step-by-step explanation:

Answer from: Quest

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step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

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