A cone has a height of #8 cm# and its base has a radius of #6 cm#. If the cone is horizontally cut into two segments #4 cm# from the base, what would the surface area of the bottom segment be? Geometry Perimeter, Area, and Volume Perimeter and Area of Non-Standard Shapes 1 Answer Barney V. · Yonas Yohannes Jun 14, 2018 #282.74"cm"^2"to the nearest 2 decimal places"# Explanation: #tan theta=8/6=1.333333333=53^@7'48''# #"top radius"=cot 53^@7'48''=0.75 xx4=3.0cm # #Lateral area= F=pi(r_1+r_2)sqrt((r_1-r_2)^2+h^2)# #F=pi(6+3)sqrt((6-3)^2+4^2)# #F=pi(9)sqrt((9+16)# #F=9pisqrt25# #F=28.27433388 xx5=141.3716694"cm"^2# #S=F+pi(r_1^2+r_2^2)# #S=141.3716694+pi(6^2+3^2)# #S=141.3716694+pi(36+9)# #S=141.3716694+pi(45)# #S=141.3716694+141.3716694# #S=282.7433388"cm"^2# #S="surface area of bottom segment"# #=282.74"cm"^2"to the nearest 2 decimal places"# Answer link Related questions A rectangle is 12cm longer than its wide. It's perimeter is 68m, how do you find it's length and width? If the area of a square is 225 cm2, what is perimeter? How do you find the perimeter and area of a square with side 6 1/2 in? The length of a rectangle is 3 times its width. If the area of the rectangle is #"192 in"^2#,... A square has a perimeter of 36 inches. What is the area? If a semi circle has a diameter of 4cm then what is the perimeter? A painting measures 12 inches by 16 inches and is surrounded by a frame of uniform width around... A clear plastic prism has six faces, each of which is a parallelogram of side length 1 meter. A... How do you find the area of a trapezoid when you have the length of every side but not the height? The area of a trapezoid is equal to half of the product of the height and sum of the bases. How... See all questions in Perimeter and Area of Non-Standard Shapes Impact of this question 2240 views around the world You can reuse this answer Creative Commons License