Question

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.

Answer 1

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.

`A_L=\pi rl`

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

Step 2

Substitute the values into the formula.

`10.8=3.14*2.7* l`
`10.8=8.478l`

Step 3

Divide both-side of the equation by 8.478

`l=(10.8)/(8.478)`
`\approx1in`

ANSWER

SH = 1 in