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What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters and a base diameter of 18 centimeters? Round to the nearest tenths place Answer: V=◻ centimeters ^(3)

What is the volume of a cylinder, in cubic centimeters, with a height of 1111 centimeters and a base diameter of 1818 centimeters? Round to the nearest tenths place\newlineAnswer: V=□ V=\square centimeters 3 ^{3}

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Full solution

Q. What is the volume of a cylinder, in cubic centimeters, with a height of 1111 centimeters and a base diameter of 1818 centimeters? Round to the nearest tenths place\newlineAnswer: V=□ V=\square centimeters 3 ^{3}
  1. Identify Formula: Identify the formula to calculate 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 1818 centimeters, the radius is half of that, which is 18 cm/2=9 cm18 \, \text{cm} / 2 = 9 \, \text{cm}.
  3. Plug Values into Formula: Plug the radius and height into the formula.\newlineUsing the radius of 9 cm9\,\text{cm} and the height of 11 cm11\,\text{cm}, the volume is calculated as V=π×(9 cm)2×11 cm.V = \pi \times (9\,\text{cm})^2 \times 11\,\text{cm}.
  4. Calculate Volume: Calculate the volume. V=π×81 cm2×11 cm=π×891 cm3V = \pi \times 81 \, \text{cm}^2 \times 11 \, \text{cm} = \pi \times 891 \, \text{cm}^3.
  5. Use Value of π\pi: Use the value of π\pi to find the numerical value of the volume.\newlineAssuming π\pi is approximately 3.14163.1416, the volume is V≈3.1416×891 cm3≈2802.6416 cm3V \approx 3.1416 \times 891 \, \text{cm}^3 \approx 2802.6416 \, \text{cm}^3.
  6. Round Volume: Round the volume to the nearest tenths place.\newlineThe volume rounded to the nearest tenths place is approximately 2802.6 cm32802.6\,\text{cm}^3.

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