A cone is formed by rotating an isosceles right triangle with leg length 10 about one of its legs. Its surface area is pi times what number?

Guest Oct 1, 2020

#1**+1 **

A cone is formed by rotating an isosceles right triangle with leg length 10 about one of its legs. Its surface area is pi times what number?

**Hello Guest!**

\(A=A_{\circ}+A_M\)

\(A_{\circ}=10^2\cdot \pi\)

\(A_M=\pi\cdot r\cdot s=\pi\cdot 10\cdot 10\sqrt{2}\\ A_M=\pi\cdot 10^2\cdot \sqrt{2}\)

\(\color{black}A=\pi \cdot(10^2+10^2\cdot \sqrt{2})\\ A=\pi\cdot 10^2(1+\sqrt{2})\\ A=\pi \cdot 241.421 \)

The surface area is \(\pi \cdot 241.421\)

!.

asinus Oct 2, 2020