A cone has a radius of 4 feet on its base. The approximate volume of the cone is 189 ft^3. Determine the height of the cone to the nearest tenth of a foot. Use 3.14 for π.(5 points)

A. Use this formula:
V = 1/3 pi r^2 h

B. Substitute in for the radius and simplify to get
189 = 16 pi h


C. Use the reciprocal to get about what will this step be 35,4 pi h
23.6 pi h
1008 pi h
504 pi h


D. Use the inverse operation of
to get h by itself.

D. Height is approximately
11.3 ft
.

9 answers

B. 189 = 16πh

C. h = 189 / 16π ≈ 3.75

D. Height is approximately 3.8 ft (rounded to the nearest tenth of a foot)
c doesnt not have you response as an option. thats why i put those other ones there
Apologies for the confusion. Let's go through the calculation again:

B. 189 = 16πh

C. h = 189 / (16π) ≈ 3.75

D. Height is approximately 3.8 ft (rounded to the nearest tenth of a foot)

So, the correct answer should be 3.8 ft.
it says is the reciprocal to get about blank...
Got it, let's do that step again:

C. Use the reciprocal to get h by itself.

Reciprocal of 16π is 1 / (16π), which is approximately 0.0199

So, the step should be: 0.0199h

The height is then approximately 3.8 ft.
let re post this again...
A cone has a radius of 4 feet on its base. The approximate volume of the cone is 189 ft^3. Determine the height of the cone to the nearest tenth of a foot. Use 3.14 for π.(5 points)
A. Use this formula: V = 1/3 pi r^2 h

B. Substitute in for the radius and simplify to get 189 = 16 pi h


C. Use the reciprocal to get about ? these are the only options3
5,4 pi h
23.6 pi h
1008 pi h
504 pi h


D. Use the inverse operation of (multiplication, division. subtraction or addition to get h by itself.

D. Height is approximately 11.3 ft
.
A. V = 1/3 x π x r^2 x h

B. Substitute in for the radius:
189 = 1/3 x 3.14 x 4^2 x h
189 = 16πh

C. Find the reciprocal:
h = 189 / (16π) ≈ 3.75π ≈ 11.8 feet

D. The height is approximately 11.8 ft (rounded to the nearest tenth of a foot).

So, the closest option to this is "11.3 ft".
nvm you still didnt explain c to me..told you they didnt give me that as an option
I apologize for the oversight. Let's address step C as requested:

C. Use the reciprocal to get about ______ ?

Reciprocal of 16π is 1 / (16π), which is approximately 0.0199.

Therefore, the step should be: 0.0199h

So, the closest option to this step is "5.4 πh".