Question

A Right Cylinder has a radius of 3 cm and a height of 5 cm.

a. Find the Surface Area and Volume of the Right Cylinder.

Answer (Show Work):

b. If you wanted more volume in your cylinder, which of these two ideas would give the most Volume:

i. Doubling the radius to 6 cm, while the height remains 5 cm

OR

ii. Tripling the height to 15 inches, while the radius remains 3cm

Answer (Show Work):

Answer 1

V = 141.37 cm³

Surface area = 150.80 cm²

i. Doubling the radius to 6 cm, while the height remains 5

Explanation:

Given that :

Radius, r = 3cm

Height, h = 5cm

Volume , V of right cylinder :

V = πr²h

V = π * 3² * 5

V = 141.37166

V = 141.37 cm³

Surface Area :

2πr(h + r)

2 * π * 3(3 +5)

18.849555(8)

150.79644

= 150.80 cm²

Volume at r = 6 ; h = 5

V = π * 6² * 5

V = 565.48667 cm³

Volume at r = 3 ; h = 15

V = π * 3² * 15

V = 424.11500 cm³

To increase volume,