Explain how to estimate the lateral area of a right cone with radius 5 cm and slant height 6 cm. Is your estimate an underestimate or overestimate? Explain.

Respuesta :

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The lateral area of a cone is equal to

[tex]LA=\pi rl[/tex]

where

r is the radius of the base

l is the slant height

we have

[tex]r=5\ cm[/tex]

[tex]l=6\ cm[/tex]

assume [tex]\pi =3.14[/tex]

substitute the values

[tex]LA=(3.14)(5)(6)=94.2\ cm^{2}[/tex]

This value is an underestimate, because the assumed pi value is less than the real value

assumed value [tex]\pi =3.14[/tex]

real value [tex]\pi =3.1415926536...[/tex]