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Sagot :
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.
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