Question

The diameter of a sphere is 14 inches. What is the surface area of the sphere? Express the answer in terms of Piin.Squared. Recall the formula S A = 4 pi r squared. 28 56 112 196

Answer 1

since the diameter is 14, then its radius is half that or 7.

`\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies SA=4\pi (7)^2\implies SA=196\pi`

Answer 2

The surface area of the sphere is 196π square inches. Option D is answer.

Step-by-step explanation:

With a diameter of 14 inches, the sphere's surface area unfurls to a surprising figure. Applying the trusty formula for spherical area, we unveil the answer: a smooth expanse of 196π square inches.

Calculations are as follows:

Find the radius: The radius is half the diameter, so r = 14 inches / 2 = 7 inches.

Apply the formula: The surface area of a sphere (S) is calculated using the formula S = 4πr^2. Substitute the radius we found: S = 4π(7 inches)^2.

Simplify the calculation: S = 4π * 49 square inches = 196π square inches.

Therefore, the surface area of the sphere is 196π square inches.

Option D is answer.