OCR MEI Paper 3 2019 June — Question 14

Exam BoardOCR MEI
ModulePaper 3 (Paper 3)
Year2019
SessionJune
TopicIndefinite & Definite Integrals

14
  1. Express \(\lim _ { \delta y \rightarrow 0 } \sum _ { 0 } ^ { h } \left( h ^ { 2 } - y ^ { 2 } \right) \delta y\) as an integral.
  2. Hence show that \(V = \frac { 2 } { 3 } \pi r ^ { 2 } h\), as given in line 41 .