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What is the volume of a cylinder with a height of 5.5 in and a base with a diameter of 11.4 in, to the nearest tenth of a cubic inch? Answer: in ^(3)

What is the volume of a cylinder with a height of 55.55 in\text{in} and a base with a diameter of 1111.44 in\text{in}, to the nearest tenth of a cubic inch?\newlineAnswer: in\text{in} 3 ^{3}

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Q. What is the volume of a cylinder with a height of 55.55 in\text{in} and a base with a diameter of 1111.44 in\text{in}, to the nearest tenth of a cubic inch?\newlineAnswer: in\text{in} 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 rr is the radius of the base and hh is the height of the cylinder.
  2. Calculate Radius: Calculate the radius of the base of the cylinder.\newlineThe diameter of the base is given as 11.411.4 inches. The radius is half of the diameter, so r=diameter2=11.4 inches2r = \frac{\text{diameter}}{2} = \frac{11.4 \text{ inches}}{2}.
  3. Perform Calculation: Perform the calculation for the radius. r=11.4 inches2=5.7 inchesr = \frac{11.4 \, \text{inches}}{2} = 5.7 \, \text{inches}.
  4. Substitute Values: Substitute the radius and height into the volume formula.\newlineUsing the radius r=5.7r = 5.7 inches and height h=5.5h = 5.5 inches, the volume formula becomes V=π×(5.7 inches)2×5.5 inchesV = \pi \times (5.7 \text{ inches})^2 \times 5.5 \text{ inches}.
  5. Calculate Volume: Calculate the volume using the values for radius and height. V=π×(5.7 inches)2×5.5 inches=π×32.49 inches2×5.5 inchesV = \pi \times (5.7 \, \text{inches})^2 \times 5.5 \, \text{inches} = \pi \times 32.49 \, \text{inches}^2 \times 5.5 \, \text{inches}.
  6. Perform Multiplication: Perform the multiplication to find the volume.\newlineV=π×32.49 inches2×5.5 inches≈3.14159×32.49 inches2×5.5 inches≈592.65215 cubic inches.V = \pi \times 32.49 \, \text{inches}^2 \times 5.5 \, \text{inches} \approx 3.14159 \times 32.49 \, \text{inches}^2 \times 5.5 \, \text{inches} \approx 592.65215 \, \text{cubic inches}.
  7. Round Volume: Round the volume to the nearest tenth of a cubic inch.\newlineV≈592.7V \approx 592.7 cubic inches (rounded to the nearest tenth).

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