Question

David built a recycling cylindrical bin that is 12 feet long and its base is 56 feet radius. Find the surface area of the bin.

• A. $23936{ft}^3$
• B. $23936{ft}^2$
• C. $23950{ft}^2$
• D. $23936ft$

Answer 1

Answer: (B)

$23936{ft}^2$

Surface area of cylinder is $A=2\pi r(r+h)$

Here the cylindrical bin has radius $r=56$ ft and height $h=12$ ft.

Thus,

$A=2\pi r(r+h)=2\times 3.14\times 56(56+12)=351.68\times 68=23936.24$

Hence, the surface area of the cylindrical bin is approximately equal to $23936$ ft${}^2$.