Could someone show me the work for the answers to both of these?

  22.  G  234 square feet

  19.  C  301 cubic inches

Step-by-step explanation:

It can work well to use estimation to solve both of these problems.

22. The shaded rectangular face has a height of 12 ft and a width of 20 ft. The area of a face that size is (12 ft)×(20 ft) = 240 ft². Answer choices H and J are immediately eliminated, because both are larger than that.

The cut off triangular corner will have side dimensions that are both less than 5, so it will have an area that is less than half of 5², or 25/2 = 12.5. That means the area of the shaded face will be more than ...

  240 -12.5 = 227.5

Only one answer choice is in the range 228 to 240: G 234.

If you want to compute the area exactly, you can recognize that the missing triangular piece from the corner of the face has ...

  a horizontal extent of 20 -16 = 4 ft

  a vertical extent of 12 -9 = 3 ft

so an area given by the triangle area formula of ...

  A = (1/2)bh = (1/2)(4 ft)(3 ft) = 6 ft²

Then the shaded area is ...

  240 ft² - 6 ft² = 234 ft² . . . matches choice G

__

19. Put the numbers from the figure into the formula and do the arithmetic.

  V = (1/3)πr²h

  V = (1/3)(3.14)(6 in)²(8 in) = 301.44 in³ . . . . matches choice C

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.