Murphy Young

12/28/2023 · Elementary School

The volume \( V \) of a right circular cylinder is given by \( V=\pi r^{2} h \), where \( r \) is the radius and \( h \) is the heig If \( h \) is held fixed at \( h=7 \) inches, find the rate of change of \( V \) with respect to \( r \) when \( r=10 \) inches. The rate is \( \square \mathrm{in}^{2} \). (Type an exact answer in terms of \( \pi \).)