Answer:
The surface area of the cone is 126π cm².
Step-by-step explanation:
The surface area of a cone can be found using this formula:
- [tex]\text{SA} = \pi r ^2+\pi r l[/tex]
- where r = radius and l = slant height
In this problem, we are told that the cone has a radius of 9 cm and a slant height of 5 cm.
Substitute these values into the formula for the surface area of a cone.
- [tex]\text{SA}= \pi (9)^2+ \pi(9)(5)\\[/tex]
- [tex]\text{SA}= \pi (81)+ \pi(45)[/tex]
- [tex]\text{SA}= 126 \pi[/tex]
The surface area of the right cone is 126 π cm².
