Question

The diameter D of a sphere is 11.6 cm. Calculate the sphere's surface area A.Use the value 3.14 for M, and round your answer to the nearest tenth.

Answer 1

The Solution:

Given:

A sphere of diameter 11.6cm.

We are required to find surface area of the sphere, rounded to the nearest tenth.

The formula for the surface area of a sphere is:

`Surface\text{ area}=4\pi r^2`

In this case:

`radius=(diameter)/(2)=(11.6)/(2)=5.8cm`

So, the surface area is:

`Surface\text{ area}=4*3.14*5.8^2=422.518\approx422.5cm^2`

Therefore, the correct answer is 422.5 square centimeters.