The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
<h3>Lateral surface area of a cone</h3>
The formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
- r = base radius
- l = slant height
Therefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
learn more on cone here: brainly.com/question/27170515
Answer:
13.75
Step-by-step explanation:
make a ratio between the original lengths, 11 : 5.5
then put the ratio of the enlarged lengths, 27.5 : __
now you divide 27.5 by 11 to find how many times you multiplied the lengths, 2.5.
now you multiply 5.5 by 2.5 giving you the answer of 13.75
~ Use the distance formula to measure the lengths of the sides.
~ Use the slope to check whether sides are perpendicular and form right angles.
~ Use the slope to check whether the diagonals are perpendicular to each.
I hope this helps ^-^
