the lateral area of a cone is 10.8in squared. the radius is 2.7 in find the slant height SH=__ intype a whole number.

Sagot :

STEP - BY - STEP EXPLANATION

What to find?

The slant height of a cone.

Given:

lateral area = 10.8

radius = 2.7

Step 1

Recall the formula of the lateral area of a cone.

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

where r is the radius and l is the slant height.

Step 2

Substitute the values into the formula.

[tex]10.8=3.14\times2.7\times l[/tex][tex]10.8=8.478l[/tex]

Step 3

Divide both-side of the equation by 8.478

[tex]l=\frac{10.8}{8.478}[/tex][tex]\approx1in[/tex]

ANSWER

SH = 1 in