Answer + Step-by-step explanation:
11.
slant height = √(h^2+(1÷4)×a^2) = √(12^2+(1÷4)×10^2) = 13 yd
L.A = 4 x (1/2) a × slant height = 4×(1÷2)×10×13 = 260 yd²
T.A = base + L.A = 10² + 260 = 360 yd²
Vol = V = (1/3)a²h = (1÷3)×10^2×12 = 400 yd³
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12.
slant height = √(7^2+2.8^2) = 7.539230729988 in
L.A = 5×(1÷2)×(7.539230729988×4) = 75.39230729988
T.A = (1÷2)×((5×4)×2.8) + 75.39230729988 = 28 + 75,39230729988
= 103.39230729988
Vol = (1÷3)×28×7 = 65.333333333333
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13.
slant height = √(6^2+8^2) = 10 ft
L.A = π×6×10 = 60π ft²
T.A = π×6² + 60π = 96π ft²
Vol = (π×36×8)÷3 = 96π ft³
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14.
height = √(15^2-8^2) = 12.68857754045 m
L.A = π×8×15 = 120π m²
T.A = π×8² + 120π = 184π m²
Vol = (1÷3)×((π×8^2)× 12.68857754045) = 850.396629025753 m³
