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.

Question

asked Oct 23, 2020 35.9k views

1 Answer

Thiago · Answer 1 · 2020-10-27T05:00:08+0000

Answer:

The answer in the procedure

Explanation:

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

where

r is the radius of the base

l is the slant height

we have

$r=5\ cm$

$l=6\ cm$

assume
$\pi =3.14$

substitute the values

$LA=(3.14)(5)(6)=94.2\ cm^(2)$

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

assumed value
$\pi =3.14$

real value
$\pi =3.1415926536...$