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dedylja [7]
2 years ago
10

Please solve thanks tyyy

Mathematics
1 answer:
tino4ka555 [31]2 years ago
6 0

Step-by-step explanation:

x = 1/2 Arc AB ( Relation between inscribed angle and corresponding arc)

x = 1/ 2 * 124

x = 62°

y = x ( Inscribed angles on standing on same arc are equal)

y = 62°

Hope it will help :)

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6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface
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Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

\displaystyle \text{SA}=2\pi r^2+ 2\pi rh

Where <em>r</em> is the radius and <em>h</em> is the height.

Therefore, the surface area of a single cylinder will be:

\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2

Then the total surface area for 200 cylinders will be:

\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

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Since <em>r</em> = 1.2 and <em>h</em> = 6.4:

\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3

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So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895

Thus, approximately 4895 containers can be filled.

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