Answer:
1)LSA=219.91 m^2
TSA= 298.45 m^2
2)LSA=785.39 ft^2
TSA= 1099.55 ft^2
3)LSA=527.78 in^2
TSA=728.84 in^2
4)LSA=480.66 mm^2
TSA= 735.13 mm^2
5)LSA= 56 cm^2
TSA= 72 cm^2
6)LSA=261 in^2
TSA=391.5 in^2
Explanation:
lateral surface area(LSA) of cone is calculated by: πrl
Total surface area(TSA) of cone is calculated by: πrl + πr^2
where r is radius of cone
l is slant height of cone
Q1)
r=5m and l=14m
Putting value in formula:
LSA= πx 5x 14
= 219.91
TSA= πx 5x 14 + π(5)^2
= 298.45
Q2)
r=10ft and l=25ft
Putting value in formula:
LSA= πx 10x 25
= 785.39
TSA= πx 10x 25 + π(10)^2
= 1099.55
Q3)
r=8in and l=21in
Putting value in formula:
LSA= πx 8x 21
= 527.78 in
TSA= πx 8x 21 + π(8)^2
= 728.84
Q4)
r=9mm and l=17mm
Putting value in formula:
LSA= πx 9x 17
= 480.66 mm
TSA= πx 9x 17 + π(9)^2
= 735.13
Q5)
LSA of Pyramid is given by= 1/2(p)(l)
TSA of Pyramid is given by= 1/2(p)(l) +B
where p is perimeter of base
B is area of base
and l is slant height
Finding p= 4.length of each side (as it is square base)
=4x4
= 16
finding B= s^2
= 4^2
=16
Putting values in formula:
LSA= 1/2(7)(16)
= 56
TSA=1/2(7)(16) + 16
= 72
Q6)
Finding p= 5.length of each side (as it is Pentagon)
=4x8.7
= 34.8
finding B= 5[1/2(b)(h)]
= 5[1/2(8.7)(6)]
=130.5
Putting values in formula:
LSA= 1/2(34.8)(15)
= 261
TSA=1/2(34.8)(15) + 130.5
= 391.5 !