The volume of the figure below

2599.92

Step-by-step explanation:

the figure is a combination of a cylinde and a sphere with each half on either side

so,

volume of cylinder = pi * r^2 * h = pi* 6^2 * 15 = 540pi

volume of sphere = 4/3 * pi * r^3 = 4/3 * pi * 6^3 = 288pi

total volume = 540pi + 288 pi = 828pi = 2599.92

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92

step-by-step explanation: