Find the surface area and volume of the following figure. Round to nearest hundredth. Used 3.14

Surface area of cylinder =  250.94 yd², Volume = 305.20yd³

Step-by-step explanation:

Formula for the total surface area of a cylinder is T. S. A. =2πrh+2πr²

 T. S. A. =2πrh+2πr²

π=3.14 , h=7.1, r = 3.7

T. S. A. = 2(3.14)(3.7)(7.1) + 2(3.14)(3.7)²

T. S. A. = 250.94 yd²

V=πr²h

V = (3.14) (3.7)²(7.1)

V= 305.20 yd³

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this