Question

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

Answer 1

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:

• Step 1: Given radius = 3 cm and height = 5 cm, find surface area and volume of the cylinder.

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  

• Step 2: Find new volume when radius = 6 cm and height = 5 cm

Volume = 3.14 × 6² × 5 = 565.2 cm³

• Step 3: Find new volume when height = 15 in and radius = 3 cm

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.