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Sphinxa [80]
3 years ago
6

A circus tent is cylindrical up to a height of 4 m and conical above. If its

Mathematics
1 answer:
muminat3 years ago
7 0

Answer:

Step-by-step explanation:

wait are you sure that the slant height is 40m... that would make this question impossible...

The bases are two circles = πr^{2}.

The rectangle is length x width. The length is the height h, and the width is the circumference of the base: 2πr. So, the rectangle is 2πrh.

The formula needed to get surface area of 4m and below is

πr^{2} + 2πrh.

If the diameter is 105, the radius is 52.5.

The height is 4.

Substitute in numbers:

π(52.5)^{2} + 2π(52.5)(4)

This is JUST THE CYLINDRICAL PART

The conical section's formula is πr(r+\sqrt{h^{2} + r^{2}  }).

im sorry idk how to explain the formula but there's probably a formula derivation video somewhere, just search "cone surface area formula derivation"

Use the pythagorean theorem to find the height h. think you cut the cone in the middle, which gives you a triangle. The hypotenuse is the slant height, 40 m, and the base is the radius, 52.5 (here's where things get weird - if it's 40 idk what to tell you but if it isnt then just use pythagorean theorem with 52.5 and the slant height)

When you find the height, substitute in the values into the conical section surface area formula.

Add that to π(52.5)^{2} + 2π(52.5)(4)

Thats the total area of canvas required.

Let me know if the slant height isn't 40... if it is im sorry :/

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Brilliant_brown [7]
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7 0
3 years ago
Paul needs to buy paint to cover all outside surfaces of his shed, depicted below. How much area, in square yards, does he need
Alekssandra [29.7K]

Answer:

Area = 145.7 Square yards

Step-by-step explanation:

Since there is no picture attached to depict the house and its dimension, I am taking values of a similar problem.

<em><u>Dimensions of Shed</u></em>

2 walls with dimensions of 15 ½ ft. by 12 ft.

2 walls with dimensions of 25 ¼ ft. by 12 ft.

Ceiling with dimensions of 15 ½ ft. by 25 ¼ ft.

2 windows that are each 2 ft. by 4½ ft. as well as an 8-ft. by 5-ft. door

<u>Solution</u>

We need to find the total wall area and ceiling area which when combined will give us the total area shed's outer surface that needs to be painted.

For total area of the wall, we need to first find the sum of area for each wall and subtract area of windows and door

Wall Area = Area of 1st two walls+Area of other two walls-Area of 2 windows-Area of door=[15.5(12)(2)] + (25.25) (12) (2) - (2)(2) (4.5) -(8)(5)

Wall Area = 371 + 606 - 17 - 40

Wall Area = 920 square ft = 102.2 square yards

Ceiling Area is just the area of the ceiling

Ceiling Area = (15.5) (25.25 )

Ceiling Area = 391.375 square ft= 43.486 square yard

<u>Total Area = Wall Area+Ceiling Area </u>=102.2+43.486=145.7 Square yards

Which is the area paul needs to cover with paint.

<em>Note: Converted Square foot to square yard as the problem requires that.</em>

8 0
3 years ago
1. Find m
Bess [88]
It's forming a circle so we know that together it's going to add up to 360. #1 is 66 because angle A trough E is straight and we have 90 on angle ACF and it's vertical to angle FCG. #2 is 125 because angle ACB is 24 because it's vertical to angle GCE. #3 is 114 because 90 and 24 is 114. #4 is 156 because 66 and 90 equal 156.
1. FCG = 66
2. BCD = 125
3. FCB = 114
4. ACG = 156
4 0
3 years ago
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