Question 13 - A-Level Maths

1. Show that the cross-sectional area in Fig. C3.2 is \(\pi x ( 2 r - x )\).
2. Hence show that the cross-sectional area is \(\frac { \pi r ^ { 2 } } { h ^ { 2 } } \left( h ^ { 2 } - y ^ { 2 } \right)\), as given in line 37 .
Verify that the formula \(\frac { \pi r ^ { 2 } } { h ^ { 2 } } \left( h ^ { 2 } - y ^ { 2 } \right)\) for the cross-sectional area is also valid for
1. Fig. C3.1,
2. Fig. C3.3.