967.12 in
Explanation:
the formula for the area (surface area) of a cylinder is: A=2πrh+2πr2
to solve we need to determine the values
R= radius = half the diameter = 14/2 =7
D= diameter =14inches
H= height= 15 inches
plug in
A=2πrh+2πr2 = A=2π(
)h+2π(
)^2
= 2
(
)(15) + 2
(
)^2
= 2
(7)(15) + 2
(7)^2
=
((2x7x15)+(2x7^2))
=
(210+98)
=
=967.12 in