Loading [MathJax]/jax/element/mml/optable/GeneralPunctuation.js

User interface language: English | Español

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 x0 and the y-axis for y0 is rotated through 2π about the x-axis.

Markscheme

Use of V=π720y2dx

V=π720(74x2)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(=77π3)     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)
Show 36 related questions
Topic 5 —Calculus

View options