Question

The surface area of a spherical lampshade is 57.76

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

$\frac{57.76\pi}{4\pi} = \frac{4\pi r^2}{4\pi}$

$14.44 = r^2$

Taking square root on both sides, we get

$\sqrt{14.44} = \sqrt{r^2}$

r =3.8.

Therefore, the radius of the lampshade is 3.8 inches.