What is the volume of a sphere with a radius of 6 mm?
v = 216pi mm3
v = 288pi mm3
v = 512pi mm3
v = 648pimm3

the answer is 288pi

Step-by-step explanation:

the ecuation to calculate de volume of a sphere is

V=(4/3)*pi*R^6

we replace the radius in the equation

V=(4/3)*pi*6^6

V=288pimm^3

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