The height of the cylinder will be 23 ft (to the nearest whole number).
GIven-
Height of the cylinder h= 30ft,
The volume of the cylinder V= 63679 \(ft^{3}\),
Now we know that the volume of any cylinder is the product of the area of the base and its height, therefore,
Volume(V)= Area of the circle X height,
\(V=\pi r^{2} h\)
\(63679=\dfrac{22}{7} \times 30^2\times h\)
\(h=\dfrac{63679}{\dfrac{22}{7} \times 30^2}\)
\(h=\dfrac{63679\times7}{22 \times 30\times30}\)
\(h=22.512 (aprox. 23)\)
Hence, the height of the cylinder will be 23 ft (to the nearest whole number).
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