Geometry

7. What is the surface area of a conical grain storage tank that has a height of 24 meters and a diameter of 16 meters? Round the answer to the nearest square meter. (1 point)
837 square meters
848 square meters
1,991 square meters
1,923 square meters
8. The lateral area of a cone is 574picm2. The radius is 29 cm. What is the slant height to the nearest tenth of a centimeter? (1 point)
9.9 cm
6.3 cm
19.8 cm
12.6 cm

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  1. http://www.calculatorsoup.com/calculators/geometry-solids/cone.php

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  2. Not clear if we want only the lateral surface area or the area including the base.
    Including the base does not make a not of sense in a storage container for grain, but ...

    LSA = πrl, where l is the slant height
    l^2 = 24^2 + 8^2
    l = √640

    LSA = π(8)√640
    = appr 635.81 ---> not one of the choices
    so let's add the base area, which 64π or 201.06
    for a total of 836.88
    I see 837

    2nd question:

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  3. What's the second ?

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  4. What’s the second answe?

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  5. To find the slant height of a cone with lateral area of 574 \pi \, cm^2 and a radius of 29 cm, we recall that the lateral area of a cone is given by
    A_L=\pi rl
    where l is the slant height of the cone.

    Thus, l= \frac{A_L}{\pi r} = \frac{574\pi}{29\pi} \approx 19.79 \, cm

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  6. that's the answer to the second question

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