Answer:
The change in the lateral surface area is approximate
Step-by-step explanation:
we know that
The lateral surface area of the cone is equal to
where
r is the radius of the base
l is the slant height
Part 1
we have
Calculate the slant height l (applying the Pythagoras Theorem)
substitute the values
Find the lateral area of the cone
Part 2
we have
Calculate the slant height l (applying the Pythagoras Theorem)
substitute the values
Find the lateral area of the cone
Part 3
Find the change in the lateral surface area
assume