Question

The surface area of a sphere is 196 π . Its radius is

Answer 1

The radius of the sphere is 7 units

Explanation:

Surface Area

Given a sphere of a radius (r), the surface area is given by the formula:

`\displaystyle A=4\pi r^2`

If the surface area is given, we can solve for r:

`\displaystyle r=\sqrt{(A )/(4\pi )}`

The surface area of a sphere is given A=196π.

Calculating the radius:

`\displaystyle r=\sqrt{(196\pi)/(4\pi )}`

`\displaystyle r=√(49)`

r = 7 units

The radius of the sphere is 7 units