SOLUTION: FInd the lateral area and surface area of a right cone with radius 8 in. and height 15 in. Give your answers in terms of pie or pi

Algebra ->  Surface-area -> SOLUTION: FInd the lateral area and surface area of a right cone with radius 8 in. and height 15 in. Give your answers in terms of pie or pi      Log On


   

Question 309678: FInd the lateral area and surface area of a right cone with radius 8 in. and height 15 in. Give your answers in terms of pie or pi
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
radius (r) = 8 in
height (h) = 15 in

slant height (s)
= sqrt%28r%5E2%2Bh%5E2%29
= sqrt%288%5E2%2B15%5E2%29
= sqrt%2864%2B225%29
= sqrt%28289%29
= 17

lateral area = pi+%2A+r+%2A+s+=+pi+%2A+8+%2A+17+=+136%2Api square inches
surface area
= base area + lateral area
= pi+%2A+r%5E2+%2B+136%2Api
= pi%2A8%5E2%2B136%2Api
= 64%2Api+%2B+136%2Api
= 200%2Api square inches