Question

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.

Answer 1

Answer:

The answer in the procedure

Step-by-step 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 $\pi =3.1415926536...$