Question

find the surface area and volume of a sphere where the diameter is 14

Explanation:

Step1: Calculate the radius

Given diameter $d = 14$, radius $r=\frac{d}{2}=\frac{14}{2}=7$.

Step2: Calculate the surface - area of the sphere

The formula for the surface - area of a sphere is $A = 4\pi r^{2}$. Substitute $r = 7$ into the formula: $A=4\pi\times7^{2}=4\pi\times49 = 196\pi$.

Step3: Calculate the volume of the sphere

The formula for the volume of a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 7$ into the formula: $V=\frac{4}{3}\pi\times7^{3}=\frac{4}{3}\pi\times343=\frac{1372\pi}{3}$.

Answer:

Surface area: $196\pi$, Volume: $\frac{1372\pi}{3}$