Clayton wants to make a cylindrical case that will fit a bass drum with a height of 14 inches and a diameter of 24 inches. With is the surface area of the case? Use 3.14 \pi[tex] \pi [/tex]

Respuesta :

1. You can solve this problem and calculate the surface area of the case, by applying the formula for calculate the surface area of a cylinder, which is:

 A=2πr²+2πrh

 "A" is the surface area of the cylinder.
 "r" is the radius.
 "h" is the height of the cylinder (h=14 inches).

 2. You need to calculate the radius. So, you have:

 r=Diameter/2
 r=24 inches/2
 r=12 inches.

 3. You already have the height and the radius, so you can substitute these values into the formula (A=2πr²+2πrh) for calculate the surface area of the case:

 A=2πr²+2πrh
 A=2(3.14)(12 inches)²+2(3.14)(12 inches)(14 inches)
 A=904.32 inches²+1055.04 inches²
 A=1959.36 inches²