The volume of the figure is about...(whole number as needed).

1,590.7 cm^3

Step-by-step explanation:

First, separate this shape into two smaller shapes you can easily find the volume of. In this example, you can separate this figure into a cone and a half-sphere.

Find the volume of the cone using the formula: V=πr^2(h/3). The radius is 7 because 14cm is the diameter, and 17cm is the height. When you solve, you get 872.32 for the volume of this cone.

Then, find the volume of the half-sphere. The volume of a sphere can be found with the formula: V=4/3πr^3. The radius is, again, 7. Now divide this value in half because you only want to find the volume of a half-sphere. You should get 718.38 cm.

Now add the two volumes together to get 1,590.7 cubed centimeters.

Step-by-step explanation:

volume of hemisphere

given

r=d/2=14/2=7cm

V=2/3πr^3

V=2/3×π×7^3

V=2/3×π×343cm^3

V=2/3×1077.56

V=718.37cm^3

volume of cone

given

r=7cm

h=17cm

V=πr^2×h/3

V=π×7^2×17cm/3

V=π×49cm^2×17cm/3

V=π×833cm^3/3

V=2616.94/3

V=872.31cm^3

Total volume=718.37cm^3+872.31cm^3

=1590.68cm^3

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47