True or false the area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units

True

Step-by-step explanation:

 Given: Statement :"The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units"    

We have to choose whether the given  statement s true or false.

Consider the given statement.

The area of a circle of radius 14 units is equal to the surface area of a sphere radius 7 units  

We first find the area of circle with 14 units radius and area of a sphere with 7 units radius and compare the two values.

We know,

Area of circle =

given : r = 14 units

So, Area of circle =  

Simplify, we have,

Area of circle = units²

Now,  

Area of sphere =

given : r = 7 units

So, Area of sphere  =  

Simplify, we have,

Area of sphere = units²

Since, Area of circle with radius 14 units is equal to the area of sphere with radius 7 units.

Thus, The given statement is true.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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