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That is the volume of a cylinder, in cubic ft, with a height of 9ft and a base diameter of 16ft?
bound to the nearest tenths
place
Answer Attempt 1 out of 2
ft³
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Answer :

To find the volume of a cylinder, we use the formula: \[ V = \pi r^2 h \] where - \( V \) represents the volume of the cylinder, - \( r \) is the radius of the base of the cylinder, - \( h \) is the height of the cylinder, and - \( \pi \) (Pi) is a mathematical constant approximately equal to 3.14159. Since the diameter of the base is given as 16 ft, we can calculate the radius by dividing the diameter by 2: \[ r = \frac{diameter}{2} = \frac{16}{2} = 8 \, \text{ft} \] Now we have the radius as 8 ft and the height as 9 ft. Let's plug these into the formula: \[ V = \pi (8^2) (9) \] \[ V = \pi (64) (9) \] \[ V = \pi (576) \] Using the approximate value for \( \pi \) as 3.14159: \[ V \approx 3.14159 \times 576 \] \[ V \approx 1808.57424 \] Now we can round to the nearest tenth: \[ V \approx 1808.6 \, \text{cubic ft} \] So the volume of the cylinder, rounded to the nearest tenths place, is approximately 1808.6 cubic feet.