Complete the statements about the cone.
-the height
units.
-the radius
units.
-the volume
pi cubic units.

The height is 6 units.

The radius is 8 units.

The volume is 128 Pi cubic units

Step-by-step explanation:

The height is 6 units.

Use Pythagorean Theorem to find the radius.

6² + x² = 10²

36 + x² = 100

-36           -36

x² = 64

x = 8

V = πr²h/3

V = π(8)²6/3

V = π(64)2

V = 128π

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