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denis23 [38]
2 years ago
12

Find the total surface area of the cylinder Leave the answer in terms of π. radius 3.5 height 6

Mathematics
1 answer:
sesenic [268]2 years ago
3 0

Answer: 133/2π

Step-by-step explanation:

<u>Area of ends:</u>

Area of Circle = πr²

π3.5²=49/4π

There are two ends so you multiply that by 2 to get 49/2π

<u>Area of Rest:</u>

First, you need to find the circumference using the equation: πd

πx7=7π

Then to find the area you just need to multiply 7π by the height

7π x 6 = 42π

<u>Total surface area</u>

You now just need to add them together

49/2π + 42π = 133/2π

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Find the area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet
Finger [1]

Answer:

The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².

Step-by-step explanation:

An octagon is a polygon with eight sides. An octagon is regular (also called a regular octagon) is a polygon with all eight sides equal.

The apothem of a regular octagon is the shortest distance between the center and any of its sides, in other words, it is the distance that separates the center of the polygon from the central point of each side of the octagon.

The area is calculated using the following formula:

Area=\frac{n*L*Ap}{2}

Where:

  • n is the number of sides.
  • L is the length of one of the sides.
  • Ap is the value of the apothem.

Being n = 8 being an octagon and the perimeter P the sum of the sides of the octagon (P = 8 * L), the area of ​​the regular octagon can be calculated by:

Area=\frac{P*Ap}{2}

In this case:

  • P=80 ft
  • Ap=12.07 ft

Replacing:

Area=\frac{80ft*12.07ft}{2}

Solving:

Area=482.8 ft²

<u><em>The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².</em></u>

3 0
3 years ago
which of the following temperatures is most precise? A) 45 degrees. B) 89.7 degrees. C) 80 degrees. D) 32.45 degrees
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3 years ago
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Jobisdone [24]

Answer:

Step-by-step explanation:

Principal, P = $4,000

Interest rate, r = 3% = 0.03

Period, t = 20 years

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A = 4000( 1 + 0.03/4)^4*20

A = 4000( 1 + 0.0075) ^80

A =4000( 1.0075) ^80

A = 4000* 1.818

A = $7272.18

5 0
3 years ago
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