a science class is creating a spherical model of the earth. what is the surface area if the sphere has a…

a science class is creating a spherical model of the earth. what is the surface area if the sphere has a diameter of 10 feet? o 40π ft² o 400π ft² o 25π ft² o 100π ft²

a science class is creating a spherical model of the earth. what is the surface area if the sphere has a diameter of 10 feet? o 40π ft² o 400π ft² o 25π ft² o 100π ft²

Answer

Explanation:

Step1: Find the radius.

The radius $r$ of a sphere is half of the diameter $d$. Given $d = 10$ feet, so $r=\frac{d}{2}=\frac{10}{2}=5$ feet.

Step2: Use the surface - area formula.

The formula for the surface area $A$ of a sphere is $A = 4\pi r^{2}$. Substitute $r = 5$ into the formula: $A=4\pi\times5^{2}=4\pi\times25 = 100\pi$ square feet.

Answer:

D. $100\pi$ ft²