PLEASE HELP IM SO STRESSED WITH A BUNCH OF SCHOOL WORK.

A right cylinder has a radius of 3 cm and a height of 5 cm.

Part A. Find the surface area and volume of the right cylinder. Please show the work.

Part B. If you wanted more volume in your cylinder, which of these two ideas would give the most volume:
1. Doubling the radius to 6 cm, while the height remains 5 cm
OR
2. Tripling the height to 15 inches, while the radius remains 3 cm. Show your work

Surface area of the cylinder is 251.2 cm² and volume is 141.3 cm³.

More volume is that of the cylinder when height is tripled to 15 inches and radius is 3 cm.

Step-by-step explanation:

Surface area = 2πrh + 2πr² = 2πr(h + r)

                     = 2π × 5 (3 + 5) = 2 × 3.14 × 40 = 251.2 cm²

Volume = πr²h = 3.14 × 3² × 5 = 141.3 cm³  

Volume = 3.14 × 6² × 5 = 565.2 cm³

15 inches = 15 × 2.54 cm = 38.1 cm (∵ 1 in = 2.54 cm)

⇒ Volume = 3.14 × 3² × 38.1 = 1076.7 cm³

∴ More volume can be attained if the height is tripled to 15 inches while radius is still at 3 cm.

x= 3^y

step-by-step explanation: