Question

Judah wants to make a cylindrical drum that will fit a bass with a height $15$in. and a diameter of $48$ in. What is the surface area of the drum?

Take $\pi =3.14$

• A. $5810.10in$
• B. $5810.10{in}^2$
• C. $5878.08{in}^2$
• D. $5878{in}^2$

Answer 1

The correct option is C $5878.08{in}^2$

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

Here, diameter is $48$ in and therefore, the radius is half of diameter that is $r=24$ in and the height is $h=15$ in.

Thus,

$A=2\pi r(r+h)=2\times 3.14\times 24(24+15)=150.72\times 39=5878.08$

Hence, the surface area of the cylindrical drum is $5878.08$ in${}^2$.