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Answered

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PLEASE HELP!! Multiple Choice 1. Calculate the slant height for the given cone. Round to the nearest tenth (11 Diameter = 8 cm Height = 9 cm O 10.2 cm O 11.4 cm 09.8 cm O 12.0 cm​

Sagot :

Answer: 9.8 cm

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Explanation:

Refer to the figure below.

The cone has a circle at the base which has a diameter of 8 cm. This cuts in half to 4 cm, and that's the radius. This forms the horizontal leg of the right triangle highlighted in red.

The vertical leg of the triangle is the height of the cone (9 cm).

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Use the pythagorean theorem to find the hypotenuse of the triangle, which is exactly the slant height.

a^2 + b^2 = c^2

4^2 + 9^2 = c^2

16 + 81 = c^2

97 = c^2

c^2 = 97

c = sqrt(97)

c = 9.84886

When rounding to one decimal place, we get 9.8 cm which is the final answer.

View image jimthompson5910
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