What is the surface area of a cylinder with a height of 9.5 inches and a radius of
2.5 inches?

surface area of a cylinder =  188.4 inches²

Step-by-step explanation:

to calculate the surface area of a cylinder given that

height of the cylinder = 9.5 inches

radius = 2.5 inches

recall that the formulae for calculating the surface area of a cylinder = 2πrh + 2πr²

surface area of a cylinder = 2πrh + 2πr²

surface area of a cylinder = 2 x 3.14 x 2.5 x 9.5 + 2 x 3.14 x (2.5)²

surface area of a cylinder = 6.28 x 2.5 x 9.5 + 6.28 x 6.25

surface area of a cylinder = 149.15 inches² + 39.25inches²

surface area of a cylinder =  188.4 inches²

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true