A tent is in a shape of a right circular cylinder up to a height 3m and conical above it. The total height of the tent is 13.5m and the radius of its base is 14m find yhe cost of the cloth required
Answers
Answered by
5
R=14,h of cylinder=3, h of Cone=10.5
S.A.of cylinder=2×22/7×14×3=264
slant height=√10.5²+14²=17.5
C.S.A of cone =22/7×14×17.5=770
T.S.A. of tent =770+264=1034m²
cost=1034×80=82720m²
hope it helps *
S.A.of cylinder=2×22/7×14×3=264
slant height=√10.5²+14²=17.5
C.S.A of cone =22/7×14×17.5=770
T.S.A. of tent =770+264=1034m²
cost=1034×80=82720m²
hope it helps *
Answered by
7
Heya !!!
Total height of tent = 13.5 m
Height of cylindrical part of tent (H1)= 3 m
Height of conical part of tent = Total height of tent - Height of cylindrical part of tent
=> 13.5 - 3 => 10.5 m
Height of conical part (H2)= 10.5
Radius of conical part (R) = 14 m
Slant Height (L) = ✓(H)² + (R)² = ✓(10.5)² + (14)² = ✓110.25 + 196 = ✓306.25 = 17.5 m
Radius of base of tent = 14 m
Length of clothe required to make tent = CSA of cylindrical part of tent + CSA of conical part of tent
=> 2πRH1 + πRL
=> πR( 2H + L)
=> πR ( 2 × 3 + 17.5)
=> 22/7 × 14 ( 6 + 17.5)
=> 22 × 2 ( 23.5)
=> 44 × 23.5
=>1034 m².
HOPE IT WILL HELP YOU..... :-)
Total height of tent = 13.5 m
Height of cylindrical part of tent (H1)= 3 m
Height of conical part of tent = Total height of tent - Height of cylindrical part of tent
=> 13.5 - 3 => 10.5 m
Height of conical part (H2)= 10.5
Radius of conical part (R) = 14 m
Slant Height (L) = ✓(H)² + (R)² = ✓(10.5)² + (14)² = ✓110.25 + 196 = ✓306.25 = 17.5 m
Radius of base of tent = 14 m
Length of clothe required to make tent = CSA of cylindrical part of tent + CSA of conical part of tent
=> 2πRH1 + πRL
=> πR( 2H + L)
=> πR ( 2 × 3 + 17.5)
=> 22/7 × 14 ( 6 + 17.5)
=> 22 × 2 ( 23.5)
=> 44 × 23.5
=>1034 m².
HOPE IT WILL HELP YOU..... :-)
Similar questions