Approximate the change in the lateral surface area (excluding the area of the base) of a right circular cone of fixed height of h=6 m when its radius decreases from r= 10m to r= 9.9 m

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

10 b/c 5*2 =10

step-by-step explanation:

600,000,000,000, or 6e14

step-by-step explanation: