Cylinder melted into cuboid

A circular cylinder has area of cross section 56cm2 and the height is 10cm the cylinder is melted and made into a cuboid of base area 16cm2. What is the height of the cuboid?

Correct result:

h =  35 cm

Solution:

S1=56 cm2 S2=16 cm2 h1=10 cm  h=S1S2 h1=5616 10=35 cmS_{1}=56 \ \text{cm}^2 \ \\ S_{2}=16 \ \text{cm}^2 \ \\ h_{1}=10 \ \text{cm} \ \\ \ \\ h=\dfrac{ S_{1} }{ S_{2} } \cdot \ h_{1}=\dfrac{ 56 }{ 16 } \cdot \ 10=35 \ \text{cm}



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