What is the volume of a hemisphere shaped coffee if the width of the coffee cup is about 16.51 cm (use 3.14 for pie) 1177.58
2355.16
18,841.25
12,850.80

A. 1,177.58 cm³

Step-by-step explanation:

Volume of hemisphere = ⅔πr³

Radius (r) = 16.51 ÷ 2 = 8.255

π = 3.14

Plug in the values

Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³

= 1,177.57783 ≈ 1,177.58 cm³

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