Answer:
l = \(\sqrt{261}\) in
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
• c² = a² + b² ( c is the hypotenuse and a, b the legs )
Note the diameter = 12 in, then radius = 12 ÷ 2 = 6 in
let a = radius = 6 , b = height = 15 and c = l , then
l² = 6² + 15² = 36 + 225 = 261 ( take square root of both sides )
\(\sqrt{l^2}\) = \(\sqrt{261}\)
l = \(\sqrt{261}\) in
