Chapter 12.6, Problem 1CYU

To determine

To find the surface area of the given sphere to the nearest tenth.

Answer to Problem 1CYU

1020 m²

Explanation of Solution

Given: A figure of a sphere is given as follows.

  

Radius of the sphere (r) = 9 m

Formula used:

Surface area of a sphere $=4\pi r^2$ , where r is the radius of the sphere.

Calculation:

Surface area of given sphere

  $\begin{array}{l}=4\pi r^2\\ =4·\pi ·{\left(9\right)}^2\\ =4\times \pi \times 81\\ =1017.87\\ \sim 1020\left(\text{to nearest tenth}\right)\end{array}$

Hence, surface area of given sphere is 1020 m².