Answer:1)LSA=219.91 m^2 TSA= 298.45 m^22)LSA=785.39 ft^2 TSA= 1099.55 ft^23)LSA=527.78 in^2 TSA=728.84 in^24)LSA=480.66 mm^2 TSA= 735.13 mm^25)LSA= 56 cm^2 TSA= 72 cm^26)LSA=261 in^2 TSA=391.5 in^2Step-by-step explanation:lateral surface area(LSA) of cone is calculated by: πrlTotal surface area(TSA) of cone is calculated by: πrl + πr^2where r is radius of cone l is slant height of coneQ1)r=5m and l=14mPutting value in formula:LSA= πx 5x 14 = 219.91 TSA= πx 5x 14 + π(5)^2 = 298.45Q2)r=10ft and l=25ftPutting value in formula:LSA= πx 10x 25 = 785.39TSA= πx 10x 25 + π(10)^2 = 1099.55Q3)r=8in and l=21inPutting value in formula:LSA= πx 8x 21 = 527.78 inTSA= πx 8x 21 + π(8)^2 = 728.84Q4)r=9mm and l=17mmPutting value in formula:LSA= πx 9x 17 = 480.66 mmTSA= πx 9x 17 + π(9)^2 = 735.13Q5) LSA of Pyramid is given by= 1/2(p)(l)TSA of Pyramid is given by= 1/2(p)(l) +Bwhere p is perimeter of base B is area of baseand l is slant height Finding p= 4.length of each side (as it is square base) =4x4 = 16finding B= s^2 = 4^2 =16Putting values in formula:LSA= 1/2(7)(16) = 56TSA=1/2(7)(16) + 16 = 72Q6)Finding p= 5.length of each side (as it is Pentagon) =4x8.7 = 34.8finding B= 5[1/2(b)(h)] = 5[1/2(8.7)(6)] =130.5Putting values in formula:LSA= 1/2(34.8)(15) = 261TSA=1/2(34.8)(15) + 130.5 = 391.5 !