Question

If the surface area of a sphere is 2826 cm², then find the radius of the sphere (π = 3.14)

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Answer 1

Solution!!

The surface area of a sphere is given. We have to find the radius of the sphere. We can use the surface area formula to find the radius of the sphere. We will substitute the surface area given in the formula and let the radius be r. On solving, we will get the radius.

Surface area = 2826 cm²

Let the radius be r.

Surface area of sphere = 4πr²

2826 cm² = 4πr²

2826 cm² = 4 × 3.14 × r²

2826 cm² = 12.56 × r²

2826 cm² ÷ 12.56 = r²

r² = 225 cm²

r = √225 cm²

r = 15 cm

Hence, the radius is 15 cm.