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What is the volume of a cylinder, in cubic feet, with a height of 16 feet and a base diameter of 10 feet? Round to the nearest tenths place
Answer: 
V=◻ feet 
^(3)

What is the volume of a cylinder, in cubic feet, with a height of 1616 feet and a base diameter of 1010 feet? Round to the nearest tenths place\newlineAnswer: V= V=\square feet 3 ^{3}

Full solution

Q. What is the volume of a cylinder, in cubic feet, with a height of 1616 feet and a base diameter of 1010 feet? Round to the nearest tenths place\newlineAnswer: V= V=\square feet 3 ^{3}
  1. Identify Formula: Identify the formula for the volume of a cylinder.\newlineThe formula for the volume of a cylinder is V=πr2hV = \pi r^2 h, where VV is the volume, rr is the radius of the base, and hh is the height of the cylinder.
  2. Convert Diameter to Radius: Convert the diameter to radius.\newlineSince the diameter of the base is given as 1010 feet, the radius is half of the diameter. Therefore, the radius r=diameter2=10 feet2=5r = \frac{\text{diameter}}{2} = \frac{10 \text{ feet}}{2} = 5 feet.
  3. Plug Values into Formula: Plug the values into the formula.\newlineUsing the radius of 55 feet and the height of 1616 feet, the volume V=π×(5 feet)2×16 feet.V = \pi \times (5 \text{ feet})^2 \times 16 \text{ feet}.
  4. Calculate Volume: Calculate the volume.\newlineV=π×25×16=π×400V = \pi \times 25 \times 16 = \pi \times 400\newlineV3.14159×400V \approx 3.14159 \times 400\newlineV1256.636V \approx 1256.636 feet3^3 (before rounding)
  5. Round Volume: Round the volume to the nearest tenths place. V1256.6V \approx 1256.6 feet3^3 when rounded to the nearest tenths place.

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