Given the following:
lateral area = 10.4pi inches squared
radius = 1.3 in
We are to find the slant height.
Using the Lateral area of a con formula:
Lateral Area = πrl
LA = 10.4π
r = 1.3
10.4π = 1.3πv * l
making l the subject of formua
l = 10.4π/1.3π
The π cancels out.
l = 10.4/1.3
l = 8 in
