Question

if the volume of a cylinder is numerically equal to its curved suface area find height of the cylinder
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Answer 1

Step-by-step explanation:

The surface area of a cilinder is the area of the bases + the lateral area, so:

A=2πr²+2πrh=2πr(r+h)

Which we set equal to the volume:

V=πr²h

2πr(r+h)=πr²h , divide both sides by πr get

2r+2h=rh

2h=rh−2r=r(h−2)

r(h−2)=2h

r=2hh−2

And there's what your radius is supposed to be.

Answer 2

Answer:

then the volume formula will be

2pie r² h

then find the value of h