Respuesta :
Option B
Surface area of cylinder is 24π square centimeter
Solution:
Given that volume of a cylinder is [tex]16\pi[/tex] cubic centimeter
Radius = 2 cm
To find: surface area of cylinder
The volume of cylinder is given as:
[tex]v = \pi r^2 h[/tex]
Where "r" is the radius of cylinder and "h" is the height of cylinder
Substituting v = 16π and r = 2 in above formula,
[tex]16 \pi = \pi (2)^2 \times h\\\\16 = 4h\\\\h = 4[/tex]
Thus height of cylinder is 4 cm
The surface area of cylinder is given as:
[tex]S.A = 2 \pi r^2 + 2 \pi r h[/tex]
Substituting h = 4 and r = 2 in above formula,
[tex]S.A = 2 \pi (2)^2 + 2 \pi (2)(4)\\\\S.A = 2 \pi (4) + 2 \pi (8)\\\\S.A = 2 \pi (4 + 8)\\\\S.A = 2 \PI (12)\\\\S.A = 24 \PI[/tex]
Thus surface area of cylinder is 24π square centimeter
