A cone has a height of 24 inches, a slant height of 25 inches, and a diameter of 14 inches. What is the surface area of the cone?

1 Answer
May 20, 2017

Total surface area of the cone is # 703.72(2dp)#

Explanation:

Radius of the cone is #r= 14/2=7# inches ;

Height and slant height of the cone is #h= 24 , l= 25# inches

Bottom surface area #S_b= pi* r^2 = 49 pi# sq.inches

Slant surface area # S_s= pi* r* l = 7*25 pi =175 pi# sq.inches

Total surface area # S= S_b+S_s=(175+49)pi=224 pi ~~ 703.72(2dp)# sq.inches [Ans]