A cone has a radius of 12 cm and a height of 9 cm. What is the approximate lateral surface area of the cone?

Question

2838 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-07T05:27:10

The lateral surface area of the cone is approximately #565.71cm^2#.

The formula for the lateral surface area of a cone is:

#A_L=pirsqrt(h^2+r^2)#

Substituting #h# and #r# with the values given and #pi# with #22/7#, we write:

#A_L=22/7xx12sqrt(9^2+12^2)#

#A_L=22/7xx12sqrt(81+144)#

#A_L=22/7xx12sqrt225#

#A_L=22/7xx12xx15#

#A_L=3960/7#

#A_L=565.71#