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A right cylinder has a radius of 3 cm and a height of 7 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 6 cm, while the height remains 7 cm.

-OR-

2. Tripling the height to 21 cm, while the radius remains 3 cm.

Sagot :

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Answer:V = 141.37 cm³

Step-by-step explanation:V = 141.37 cm³Surface area = 150.80 cm²i. Doubling the radius to 6 cm, while the height remains 5Step-by-step explanation:Given that :Radius, r = 3cmHeight, h = 5cmVolume, V of right cylinder :V = πr²hV = π * 3² * 5V = 141.37166V = 141.37 cm³Surface Area :2πr(h + r)2 * π * 3(3 +5)18.849555(8)150.79644= 150.80 cm²Volume at r = 6 ; h = 5V = π * 6² * 5V = 565.48667 cm³Volume at r = 3 ; h = 15V = π * 3² * 15V = 424.11500 cm³

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