Show complete solutions in every number.( Please kindly send answers before 11:30. Thank you!)

1. The volume and the total surface area of a spherical cone are 766 cu. cm. and 470 sq. cm., respectively. Find the vertex angle.

a.87.29 deg

b.79.89 deg

c.39.95 deg

d.43.64 deg

2.A triangular canal has an open top of 30cm by 6m and closed vertical ends. The sides form an equilateral triangle 30cm on each side. It is filled with water half of its total depth. Find the volume of the water.

a.0.046 cu.m

b.0.058 cu.m.

c.0.037 cu.m

d.0.065 cu.m.

e.None of the above.

3.Leigh and Fatima decided to ride in the merry go round located in a park near their house. Leigh is standing 1.2 meters from the center and Fatima is riding 2 meters from the center. It took 8 seconds to a whole rotation. Calculate their angular velocity.

a.0.7854 rad/s

b.0.1250 rad/s

c.0.1500 rad/s

d.0.5210 rad/s