A solid right cyliner of radius 2 ft. has a total surface area of 12 pie sq. ft. What's the cylinders height?

Question

Please explain

Answer 1

[04]
Let the height of the cylinder be h ft
By the problem,
2*pi*2(2+h)=12pi
2+h=12*pi/4*pi=3
h=3-2=1 ft,
The height of the cylinder is 1 ft.

Answer 2

floor area a suitable Cylinder * S= 2B + Ch* the place B is the area of the backside, C is the circumference of the backside, and h is the top.* after putting C as 2pir and B as pi(sq. of r) you will get quadratic equation in r *r = radius of base

Answer 3

r = radius of base
h = height
S.A. = 2 (π r ²) + (2 π r) h
12 π = 8 π + 4 π h
12 = 8 + 4 h
h = 1 ft

Answer 4

v=r^2*Pi*h

12=(2)^2*Pi*h
h=3/Pi=.954929