1). what is the volume of this oblique cone?
12π cm³
40π cm³
60π cm³
120π cm³

2). what is the volume of this right cone?
384π cm³
691π cm³
1038π cm³
2073π cm³

1). Volume of oblique cone = 120π cm³

2). Volume of cone = 384π cm³

Step-by-step explanation:

1). Dimensions of the oblique cone :

radius of the base = 6 cm and height of the cone = 10 cm

Hence, Volume of oblique cone = 120π cm³

2). Dimensions of the cone :

radius of the base = 12 cm and height of the cone = 8 cm

Hence, Volume of cone = 384π cm³

Therefore, the correct options are : D and A

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt