# Roof of the church

The cone roof of the church has a diameter of 3m and a height of 4m. What is the size of the side edge of the church roof (s) and how much sheet will be needed to cover the church roof?

Correct result:

s =  5.657 m
S =  71.088 m2

#### Solution:

$D=8 \ \text{m} \ \\ h=4 \ \text{m} \ \\ r=D/2=8/2=4 \ \text{m} \ \\ s=\sqrt{ r^2+h^2 }=\sqrt{ 4^2+4^2 }=4 \ \sqrt{ 2 }=5.657 \ \text{m}$
$S=\pi \cdot \ r \cdot \ s=3.1416 \cdot \ 4 \cdot \ 5.6569=71.088 \ \text{m}^2$

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