Question

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Solve this problem

An open cone has a slant height of 5m and a curved surface area of 250 m². Find the radius of the circular base.​

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Answer 1

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⇨ɪ ʜᴏᴘᴇ ᴜ ɢᴏᴛ ɪᴛ!

Answer 2

Given : Slant Height of Cone is 5m & C.S.A of Cone is 251m².

To Find : Find the radius of the circular base ?

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Solution : Let the slant height be x.

$~$

• ${\sf\leadsto{Slant~height~(l)~is~5m}}$

$~$

$\underline{\frak{As ~we ~know~ that~:}}$

• $\boxed{\sf\pink{C.S.A~of~cone~=~πrl}}$★

$~$

$\pmb{\sf{\underline{Substituting~ the ~Given~ Values~:}}}$

$~$

$\qquad{\sf:\implies{251~=~\dfrac{22}{7}~×~r~×~5}}$

$\qquad{\sf:\implies{251~×~7~=~110 r}}$

$\qquad{\sf:\implies{1757~=~110 r}}$

$\qquad{\sf:\implies{r~=~\cancel\dfrac{1757}{110}}}$

$\qquad:\implies{\underline{\boxed{\frak{\pink{r~=~15.9~m}}}}}$★

$~$

Hence,

$\therefore\underline{\sf{The ~radius ~of~ the ~circular ~base~is~\bf{\underline{15.9~m}}}}$