A right cone has a slant height of 6 and a radius of 4. What is the surface area?

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Answer 1 · 2018-06-13T13:59:39

#40pi~~125.66# units squared.

Surface area of a cone is given by:

#A=pir^2+pirl#

#=>A=pir(r+l)#

where:

#r# is the radius of the cone

#l# is the slant height of the cone

So, we get:

#A=4pi(4+6)#

#=4pi*10#

#=40pi#

Answer 2 · 2018-06-13T14:03:58

#color(blue)(40pi " units"^2#

There is a formula for the surface area of a cone given radius and slant height.

#"Area"=pirl+pir^2#

Where #l# is the slant height.

So:

#"Area"=pi(4)(6)+pi(4)^2#

# \ \ \ \ \ \ \ \ \ =24pi+16pi=40pi#

Surface area of cone is:

#color(blue)(40pi " units"^2#