43.4k views
0 votes
If the waffle cone in the previous question has a slant height of 4, what is the surface area of the cone that would be needed for a wrapper? Do not round your answer. Use 3.14 for pi.

1 Answer

7 votes

Answer:

the surface area of the cone needed for a waffle cone wrapper is 8.25π square units, or approximately 25.93 square units

Explanation:

We can use the formula for the surface area of a cone to find the surface area of the cone needed for a waffle cone wrapper:

Surface area = πr² + πrℓ

where r is the radius of the base of the cone, ℓ is the slant height of the cone, and π is approximately 3.14.

Since the waffle cone has a radius of 1.5 and a slant height of 4, we can plug these values into the formula and simplify:

Surface area = π(1.5)² + π(1.5)(4)

Surface area = 2.25π + 6π

Surface area = 8.25π

Therefore, the surface area of the cone needed for a waffle cone wrapper is 8.25π square units, or approximately 25.93 square units (if using a calculator to approximate π).

User Adi Lester
by
7.7k points