Question

The formula for the surface area, S, of a cylinder, is S = 2tr2 + 2trh, where h is
the height of the cylinder, and r is the radius of the base of the cylinder.
Part A: Solve the equation for the height.

Answer 1

Answer:

H = 2        S = 50    A = 50.2

Step-by-step explanation:

A=2πrh+2πr2

S = 2tr2 + 2trh

S = 2 (t x r) + (h x 2t) x r   Try out ^2 for Radius

S = 2t x r^2 + r x h x 2t  Rearrange back and cross out for square^2

S = 6t x 4 + 6t x r x h Cross out for t

S = 6 x 4 + 6 x 2 x h  Balance out...

S= 24 + 12 x 2    Find h = 2

S = 36 + 24

S=  50 sq2

A = 50. 2

R = 2

H = 2  

Checker

Area = 6.28318530718 x 4 + 6.28318530718  x 2 x 2 = 50.27sq2