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
23.6 = pi h
D. Use the inverse operation of
to get h by itself.
D. Height is approximately
11.3 ft
.
Correct! The height of the cone is approximately 11.3 feet.
can you tell me the steps
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.
c is incorect
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.
what inverse oppeartion would u use ?
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.