The length of a right cylinder increases due to heating by $1 \%$. Then its base area will increase

Question

The length of a right cylinder increases due to heating by $1 \%$. Then its base area will increase by\

Professor PC Thomas Classes · Answer

Base area $=\pi r^{2}$. When the length increases by $1 \%$ the radius also increase by $1 \%$. Therefore the area increase by $2 	imes 1 \%$\