Question

Calculate the height of a cone whose slant height is 25 cm and

curved surface area is 550 cm2

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Answer 1

Answer:

A=πrl+πr2

l=r2+h2

Solving for h

h=2πl2+2lπ(πl2+4A)﹣4A

2π=2·π·252+2·25·π·(π·252+4·550)﹣4·550

2·π≈24.34101cm