Chapter 10.6, Problem 27E

To determine

To calculate the surface area of Sphere.

Answer to Problem 27E

19.64ft²

Explanation of Solution

Given Information: Sphere Diameter d = 2.5 ft. and $\pi =\frac{22}{7}$

Formula Used:Surface area of Sphere = $4\pi r^2$ and Radius = $\frac{Diameter}{2}$

Calculation:

Surface area of Sphere = $4\pi r^2$

Diameter d = 2.5 ft. and $\pi =\frac{22}{7}$

First find Radius r.

Hence,

Radius = $\frac{Diameter}{2}$

Put the value of diameter to find radius of Sphere

Radius = $\frac{2.5}{2}$

So,

Radius r = 1.25 ft.

Surface area of Sphere = $4\pi r^2$

Radius r = 1.25 ft. and $\pi =\frac{22}{7}$

Now put the value of r and $\pi$ to find Surface area of Sphere

Surface area of Sphere = $4\times \frac{22}{7}\times {\left(1.25\right)}^2$ ft²

So,

Surface area of Sphere = $4\times \frac{22}{7}\times 1.56$ ft²

Hence,

Surface area of Sphere = 19.64ft²