Use the net to find rhe surface area of a cone with the radius 14.5m and slant height 17.5m. use 3.14 pie. use pencil and paper

Use the net to find rhe surface area of a cone with the radius 14.5m and slant height 17.5m. use 3.14 pie. use pencil and paper if possible to have another cone with the same surface area but different dimensions? explain ​

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  1. [tex]\bf \textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies LA=\pi (3)\sqrt{3^2+3^2} \\\\\\ LA=3\pi \sqrt{2(3^2)}\implies \boxed{LA=9\pi \sqrt{2}} \\\\[-0.35em] ~\dotfill[/tex]

    [tex]\bf \textit{total surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies SA=\boxed{9\pi \sqrt{2}}+\pi 3^2 \\\\\\ SA=9\pi \sqrt{2}+9\pi \implies SA\approx 68.26[/tex]

  2. Help!! Seriously need help I don’t understand it

    Step-by-step explanation:

    Someone please answer I need the answer for this too

  3. formula is pi*r*(r+sqaureroot(h^2+r^2)

     plug in the numbers and the calculated area is 1507.96

     but since you cant use fraction or decimals

     the answer should be 480PI

  4. Step-by-step explanation:

    Given that,

    Radius of cone, r = 8 cm

    Slant height of the cone, l = 17.9 cm

    We need to find the surface area of a cone. The a cone, its surface area is given by :

    [tex]A=\pi r^2+\pi rl[/tex]

    Putting the values of r and l in above formula such that,

    [tex]A=\pi (r^2+rl)\\\\A=\dfrac{22}{7}\times ((8)^2+8\times 17.9)\\\\A=651.2\ cm^2[/tex]

    So, the surface area of a cone is [tex]651.2\ cm^2[/tex]. Hence, this is the required solution.

  5. 66

    Step-by-step explanation:

    The formula for finding the surface area of a cone is:

    S.A = L.A + B

    In other words:

    1/2*2πr*l + Area of Base

    You can go ahead and plug in your values for the problem into the formula.

    The total surface area of the cone is 65.9734457 m², or 66 m² if you round.

    I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!    

  6. 108.8cm^2

    Step-by-step explanation:

    Surface Area

    A = πr(r+ √h2+r2)

    A= π3 * (3 +1/3)  √64 + 9  (+ 3) = sqroot 17 +3 = 20 + (3 x 4) = π32

    A= 108.7

    Volume

    V=πr2h/3

    V= π9*8 = π72/3 = 226.28/3

    V= 72.4cm^3

    Additional

    The cone has a radius of 3cm and height of 8cm, find total surface area of the cone.

    To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.

    l2 = h2 + r2

    l2 = 64 + 9

    l = √(73)

    l = 8.54 cm

    And the total surface area of the cone is:

    SA = πr2 + πrl

    SA = π · r · (r + l)

    SA = π · 3 · (3 + 8.54)

    SA = π x 3 . 11.54

    SA = 9.42477796077 x 11.54 = 108.76 cm2

    SA = 108.8cm^2

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