Question

find the total surface area of cone whose diameter of Base is 14m and slant height is 25m​

Answer 1

SOLUTION

Given,

Diameter of base = 14m

Radius = 14/2= 7m

slant height= 25m

Now, T.S.A = πr(r+l)

=) [22/7× 7 (7+25)]

=) (22/7×7 × 32)m^2

=) (22× 32)m^2

=) 704m^2 [answer]

hope it helps☺️⬆️

Answer 2

$\huge\sf\pink{Answer}$

☞ Total Surface Area of the cone is 704 m²

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$\huge\sf\blue{Given}$

✭ Diameter of the base is 14 m, so Radius = 7 m

✭ Slant height is 25 m

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$\huge\sf\gray{To \:Find}$

◈ The Total Surface Area?

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$\huge\sf\purple{Steps}$

$\large\sf\star\: Diagram\: \star$

$\setlength{\unitlength}{1cm}\begin{picture}(6, 4)\linethickness{0.26mm}\qbezier(5.8,2.0)(5.8,2.3728)(4.9799,2.6364)\qbezier(4.9799,2.6364)(4.1598,2.9)(3.0,2.9)\qbezier(3.0,2.9)(1.8402,2.9)(1.0201,2.6364)\qbezier(1.0201,2.6364)(0.2,2.3728)(0.2,2.0)\qbezier(0.2,2.0)(0.2,1.6272)(1.0201,1.3636)\qbezier(1.0201,1.3636)(1.8402,1.1)(3.0,1.1)\qbezier(3.0,1.1)(4.1598,1.1)(4.9799,1.3636)\qbezier(4.9799,1.3636)(5.8,1.6272)(5.8,2.0)\put(0.2,2){\line(1,0){2.8}}\put(3,2){\line(0,2){4.5}}\put(1.5,1.7){\sf{7 m}}\qbezier(.2,2.05)(.7,3)(3,6.5)\qbezier(5.8,2.05)(5.3,3)(3,6.5)\put(1,5){\sf 25 m}\put(3,2.02){\circle*{0.15}}\put(2.7,2){\dashbox{0.01}(.3,.3)}\end{picture}$

TSA of a cone is given by,

$\underline{\boxed{\red{\sf{TSA\:of\: cone=\pi\:r(r+l)}}}}$

Substituting the given values,

$\dashrightarrow\sf{\dfrac{22}{7}\times\:7(7+25)\:m^2}$

$\dashrightarrow\sf{22\times\:32\:m^2}$

$\orange{\dashrightarrow\sf{704\:m^2} }$

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