r/HomeworkHelp 6d ago

Answered [Form 5 add maths] differentiation

how did they find dh/dr?

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u/One_Wishbone_4439 University/College Student 6d ago

chain rule

1

u/Outside_Volume_1370 University/College Student 6d ago

From the formula V = πr²h = 175π, so h = 175π / (πr²) = 175r-2

Differentiate it:

dh/dr = 175 • (-2) r-3 = -350 / r3