Faiithh
Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A right cylinder has a radius of 7 cm and a height of 3 cm.

Answer the following questions and make sure to *show all your work.*

(a) Find the *Surface Area* of the cylinder

(b) Find the *Volume* of the cylinder

(c) If you wanted more volume in your cylinder, which of these two ideas would give the most *Volume?*
1. Doubling the radius to 14 cm, while the height remains 3 cm.

OR

2. Tripling the height to 9 cm, while the radius remains 7 cm.

Sagot :

kr891598

Answer:

V = 141.37 cm³

Surface area = 150.80 cm²

Step-by-step explanation:

Answer:

V = 141.37 cm³

Surface area = 150.80 cm²

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

Step-by-step 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

Answer:

See below

Step-by-step explanation:

Part A

The surface area of a cylinder is [tex]SA=2\pi rh+2\pi r^2[/tex] with [tex]r[/tex] being the radius and [tex]h[/tex] being the height:

[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(7)(3)+2\pi(7)^2\\\\SA=2\pi(21)+2\pi(49)\\\\SA=42\pi+98\pi\\\\SA=140\pi[/tex]

Therefore, the surface area of the given cylinder is 140π cm².

Part B

The volume of a cylinder is [tex]V=\pi r^2h[/tex]:

[tex]V=\pi r^2h\\\\V=\pi (7)^2(3)\\\\V=\pi(49)(3)\\\\V=147\pi[/tex]

Therefore, the volume of the given cylinder is 147π cm³.

Part C

The first cylinder would have a volume of [tex]V_1=\pi(14)^2(3)=\pi(196)(3)=588\pi cm^3[/tex]

The second cylinder would have a volume of [tex]V_2=\pi (7)^2(9)=\pi(49)(9)=441\pi cm^3[/tex]

Therefore, the first cylinder with a radius of 14cm and a height of 3cm gives a greater volume of 588π cm³.

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.