2020 ONE(e)

Question

A cylinder of height

h

and radius

r

is inscribed, as shown to the
right, inside a sphere of radius 20 cm.

Loading diagram...

Find the maximum possible volume of the cylinder.

*You must use calculus and show any derivatives that you need to
find when solving this problem.*

*You do not need to prove that the volume you have found is a
maximum.*

Full Solution

Solution Steps(progressive reveal)

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Video Explanation

NCEA Level 3 Calculus Differentiation 2020 NZQA Exam - Worked Answers by infinityplusone(starts at 11:00)

Exam Paper (2020)Assessment Schedule (2020)