calculate the surface area of a sphere whose radius is 14cm

1 answer

The formula for the surface area \( A \) of a sphere is given by:

\[ A = 4\pi r^2 \]

where \( r \) is the radius of the sphere.

Given that the radius \( r = 14 \) cm, we can substitute this value into the formula:

\[ A = 4\pi (14)^2 \] \[ A = 4\pi (196) \] \[ A = 784\pi \]

Now, using the approximate value of \( \pi \approx 3.14 \):

\[ A \approx 784 \times 3.14 \approx 2462.56 \text{ cm}^2 \]

Thus, the surface area of the sphere is approximately \( 2462.56 , \text{cm}^2 \). If you need an exact answer, it would be:

\[ A = 784\pi , \text{cm}^2 \]