In order to determine the number of required square feet to paint the nose cone, use the following formula for the surface area of a cone without the base:
![S=\pi rl](https://img.qammunity.org/2023/formulas/mathematics/college/s37p0t1751p15brc42q7033r923zsyhmwk.png)
where
r: radius of the base of the cone = 3 ft
l: slant height of the cone = 6 ft
replace the previous values of the parameters into the formula for S and simplify:
![S=(3.14)(3ft)(6ft)=56.5ft^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/pjdp61nj4muhqmh6dqiikrcy56nwq2tcu6.png)
Hence, 56,5ft^2 are required