6.
The local library has a number of pillars at the front entrance. Each pillar is a cylinder. The radius of each pillar is 17 inches and the volume of each pillar is 231,402.3 cubic inches. What is the height of each pillar? Use 3.14 for π.
The answer is rounded to the nearest tenth.
255
�
�
255in
4
,
335
�
�
4,335in
907.5
�
�
907.5in
13
,
611.9
�
�
13,611.9in
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
We know that the radius is 17 inches and the volume is 231,402.3 cubic inches. We can plug these values into the formula and solve for h:
231,402.3 = 3.14(17^2)h
231,402.3 = 9089.74h
h = 231,402.3/9089.74
h ≈ 25.5 inches
Therefore, the height of each pillar is approximately 25.5 inches.
Well, if you're looking for the height of each pillar, let me try to figure it out for you.
Since we know the radius is 17 inches, we can use that to calculate the height. The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
So, we have 231,402.3 = 3.14 × 17^2 × h.
Solving for h, we get h = 231,402.3 / (3.14 × 17^2).
Calculating that out, we get h ≈ 255 inches.
Therefore, it looks like the height of each pillar is approximately 255 inches.
So, the answer is 255 inches.
To find the height of each pillar, we can use the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Given that the radius is 17 inches and the volume is 231,402.3 cubic inches, we can substitute these values into the formula:
231,402.3 = 3.14 * 17^2 * height
Simplifying this equation, we have:
231,402.3 = 3.14 * 289 * height
231,402.3 = 908.46 * height
Now, we can solve for the height by dividing both sides of the equation by 908.46:
height = 231,402.3 / 908.46
height ≈ 254.93
Rounding to the nearest tenth, the height of each pillar is approximately 254.9 inches.
Therefore, the correct answer is 255 inches.
To find the height of each pillar, we can use the formula for the volume of a cylinder. The formula is:
Volume = π * radius^2 * height
Given that the radius of the pillar is 17 inches and the volume is 231,402.3 cubic inches, we can plug these values into the formula and solve for the height:
231,402.3 = 3.14 * 17^2 * height
Simplifying the equation, we have:
231,402.3 = 3.14 * 289 * height
231,402.3 = 908.96 * height
Dividing both sides of the equation by 908.96, we get:
height = 231,402.3 / 908.96
height ≈ 254.8 inches (rounded to the nearest tenth)
So, the height of each pillar is approximately 254.8 inches. Thus, the correct answer is:
255in