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)

Question

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
23.6 = pi h


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

D. Height is approximately
11.3 ft
.

Answer 1

Correct! The height of the cone is approximately 11.3 feet.

Answer 2

can you tell me the steps

Answer 3

Of course! Here are the steps to find the height of the cone:

A. Start with the formula for the volume of a cone: V = 1/3 πr^2h

B. Substitute in the given values: V = 189 ft^3 and r = 4 ft. This gives you 189 = 1/3 π(4)^2h, which simplifies to 189 = 16πh.

C. Divide both sides by 16π to solve for h: 189/16π ≈ 11.88 ≈ h.

D. Round h to the nearest tenth, which gives h ≈ 11.9 ft.

Therefore, the height of the cone is approximately 11.9 feet.

Answer 4

c is incorect

Answer 5

I apologize for the mistake. Let's correct that.

C. Divide both sides by 16π to solve for h: 189/16π ≈ 3.77 ≈ h.

D. Round h to the nearest tenth, which gives h ≈ 3.8 ft.

Therefore, the correct height of the cone is approximately 3.8 feet. Thank you for pointing out the error.

Answer 6

what inverse oppeartion would u use ?

Answer 7

I apologize for the confusion. The correct inverse operation to isolate h in the equation 189 = 16πh is division. By dividing both sides by 16π, you can solve for h.

189 = 16πh
h = 189 / 16π
h ≈ 3.77

Rounded to the nearest tenth, the height is approximately 3.8 feet. Thank you for pointing that out.