Date | May 2017 | Marks available | 3 | Reference code | 17M.2.AHL.TZ2.H_2 |
Level | Additional Higher Level | Paper | Paper 2 | Time zone | Time zone 2 |
Command term | Find | Question number | H_2 | Adapted from | N/A |
Question
Consider the curve defined by the equation 4x2+y2=7.
Find the volume of the solid formed when the region bounded by the curve, the x-axis for x⩾0 and the y-axis for y⩾0 is rotated through 2π about the x-axis.
Markscheme
Use of V=π√72∫0y2dx
V=π√72∫0(7−4x2)dx (M1)(A1)
Note: Condone absence of limits or incorrect limits for M mark.
Do not condone absence of or multiples of π.
=19.4(=7√7π3) A1
[3 marks]
Examiners report
[N/A]
Syllabus sections
Topic 5 —Calculus » AHL 5.17—Areas under curve onto y-axis, volume of revolution (about x and y axes)
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