Question

if the volume and curved surface area of a cylinder are 269.5 cm cube and 154 cm square respectively what is the height of the cylinder​

Answer 1

Answer:volume of cylinder=πr²h (formula)

curved surface area=2πrh(formula)

so,2πrh=154(given)

or,πh=77/r ...........(1)

volume=πr²h

or,269.5=π*r*r*h

or,269.5=(77/r)*r*r [from eq...1]

or,269.5=77r

or,r=269.5/77

=3.5(radius)

therefore, putting this value in eq...1 we get

or,πh=77/r

or,h=(77x7) /(22x3.5)  [since π=22/7]

=77x7x10/770

height=7 cm(answer)

Step-by-step explanation: