Mathematics

Question

The formula for the lateral area of a right cone la=pirs, where r is the radius of the base and s is the slant height of the cone. which are equivalent equations?

2 Answer

  • Answer:

    [tex]\pi r \sqrt{r^2+h^2}[/tex]

    Step-by-step explanation:

    Given that there is a cone with radius r and slant height s.

    We know that lateral surface area of the cone is

    =[tex]\pi r s[/tex]

    Alternately if instead of s, h is known we can write this in terms of h also.

    Consider the right triangle formed by slant height, height and radius of the cone.

    Using Pythagorean theorem we have

    [tex]s^2=r^2+h^2[/tex]

    Or [tex]s=\sqrt{r^2+h^2}[/tex]

    Hence lateral surface area of the cone

    =[tex]\pi r \sqrt{r^2+h^2}[/tex]

  • Answer:

    A And D

    Step-by-step explanation:

    Did The Quiz and got it right

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