3. Russell is filling a cylinder-shaped swimming pool that
has a diameter of 20 feet. He fills it with water to a
depth of 3 feet. What is the volume of the water in the
pool, to the nearest cubic foot?
377 cubic feet
942 cubic feet
2,958 cubic feet
3,768 cubic feet
377
942
2958
3768
O

942.4777961 or 942

Step-by-step explanation:

First find the area of the circle using \pi r^{2} . Radius is half of diameter so the radius is 10.

\pi 10^{2} = 314.1592654

Then multiply the depth to the area of the circle.

314.1592654 x 3 = 942.4777961

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

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