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MrRissso [65]
3 years ago
11

I want to cover the curved surface of a cylinder with orange paper. My cylinder is 14” tall. The diameter is 3.5”. I have listed

the sizes of paper I have available. Which sheet of paper will cover the cylinder without overlapping?
A. 5”x14”

B. 1K4”x20”

C. 14”x30”

D. 11”x14”

Now I want to cover the lid and bottom of the cylinder with blank paper. I need to know the total area of the bases. What is the area of the bases rounded to the nearest inch ?

A 19”

B. 4”

C. 38”

D. 10”
Mathematics
1 answer:
Dominik [7]3 years ago
7 0
Circumference of the cylinder = 3.14 x 3.5 = 10.99 = 11 inches
 so D. 11 x 14 is correct for the first part

area of the top  =  PI x r^2 = 3.14 x 1.75^2 = 9.62 inches

top and bottom = 9.62 x 2 = 19.23 = A. 19 inches




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Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = Pe^{rt}, where

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∵ Angus has $3,000 he want to invest

∴ P = 3000

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∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

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∵ 5500 = 3000e^{8r}

→ Divide both sides by 3000

∴ \frac{11}{6} = e^{8r}

→ Insert ㏑ in both sides

∵ ㏑( \frac{11}{6} ) = ㏑(e^{8r})

→ Remember ㏑(e^{n}) = n

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∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

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