the cone below has a radius of 3cm and a slant hight of x cm the total surface area including the Base is 24pi cm work out the hight of x​

Question

the cone below has a radius of 3cm and a slant hight of x cm the total surface area including the Base is 24pi cm work out the hight of x​

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Natalia 2 weeks 2021-10-05T20:41:46+00:00 1 Answer 0

Answers ( )

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    2021-10-05T20:43:39+00:00

    Answer:

    x=5\ cm

    Step-by-step explanation:

    we know that

    The surface area of a cone is equal to

    SA=\pi r^{2}+\pi rl

    where

    r is the radius

    l is the slant height

    we have

    SA=24\pi\ cm^2

    r=3\ cm\\l=x\ cm

    substitute the given values in the formula

    24\pi=\pi (3)^{2}+\pi (3)x

    Simplify

    24=9+3x

    solve for x

    3x=24-9\\3x=15\\x=5\ cm

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