Me 30points!

find the height of a square pyramid with volume 96 m3 and dimensions of base are 9 m by 9 m.

7.11 m
5.24 m
3.56 m
1.19 m

find the surface area of a sphere with diameter 8.6 ft.

232.35 ft2
929.41 ft2
799.2 ft2
999.11 ft2

find the surface area of a sphere with diameter 9 cm.

1017.88 cm2
916.09 cm2
1145.11 cm2
254.47 cm2

find the length of the radius of a sphere with a surface area of 63.62 km2.

1.125 km
4.5 km
2.25 km
3.375 km

find the length of the diameter of a sphere with a surface area of 50.27 ft2.

1.77 ft
3.54 ft
2 ft
4 ft

find the volume of a sphere with diameter 8 mm.

67.02 mm3
150.80 mm3
268.08 mm3
85.33 mm3

find the length of the radius of a sphere with a volume of 1150.35 ft3.

6.5 ft
13 ft
16.6 ft
33.2 ft

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

i think it would be c

mark brainliest if im right

step-by-step explanation: