Question

The surface area of a spherical lampshade is 57.76


`\pi`
square inches. what is the radius of the lampshade?

Answer 1

We are given area of the spherical lampshade = 57.76 \pi square inches.

We know formula of area of a spherical shape:

`A = 4\pi r^2`

Plugging area A= 57.76 π in formula, we get

`57.76\pi= 4\pi r^2`

Dividing both sides by 4π, we get

`(57.76\pi)/(4\pi) = (4\pi r^2)/(4\pi)`

`14.44 = r^2`

Taking square root on both sides, we get

`√(14.44) = √(r^2)`

r =3.8.

Therefore, the radius of the lampshade is 3.8 inches.