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leonid [27]
3 years ago
10

6 cm

Mathematics
1 answer:
Svetach [21]3 years ago
6 0

Answer:

3 cm base 4 cm height

Step-by-step explanation:

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Given:

Area of a sector = 64 m²

The central angle is \theta=\dfrac{\pi}{6}.

To find:

The radius or the value of r.

Solution:

Area of a sector is:

A=\dfrac{1}{2}r^2\theta

Where, r is the radius of the circle and \theta is the central angle of the sector in radian.

Putting A=64,\theta=\dfrac{\pi}{6}, we get

64=\dfrac{1}{2}r^2\times \dfrac{\pi}{6}

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64\times \dfrac{12}{\pi}=r^2

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Taking square root on both sides, we get

\sqrt{\dfrac{768}{\pi}}=r

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Here are two closed containers and four balls just fit into each container. Each ball has a diameter of 60mm. Which container ha
Fittoniya [83]

Answer:

"A is smaller"

Step-by-step explanation:

The full question is attached.

<u>Surface area of cylinder:</u>

The formula is  SA=2\pi r^2 + 2\pi r h

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Here, radius would be 30 since balls have diameter 60 and radius is half of that.

Also height is the diameter of 4 balls line-by-line, so height is 60*4 = 240

Now, plugging into the formula, we get:

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The surface area of rectangular prism is the area of all the rectangular surfaces (6 of them).

Area of top and bottom = (60+60)*(60+60) * 2 = 120*120 * 2 = 28,800

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Area of front and back = 2 * (60*120) = 14,400

Total Surface Area = 28,800 + 14,400 + 14,400 = 57,600

Thus, cylinder has smaller surface area.

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