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A cylinder has a base radius of 4 meters and a height of 2 meters. What is its volume in cubic meters, to the nearest tenths place?
Answer: 
V=◻ meters 
^(3)

A cylinder has a base radius of 44 meters and a height of 22 meters. What is its volume in cubic meters, to the nearest tenths place?\newlineAnswer: V= V=\square meters 3 ^{3}

Full solution

Q. A cylinder has a base radius of 44 meters and a height of 22 meters. What is its volume in cubic meters, to the nearest tenths place?\newlineAnswer: V= V=\square meters 3 ^{3}
  1. Identify Formula and Values: Identify the formula for the volume of a cylinder and the given values.\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.\newlineGiven values: \newlineRadius (rr): 44 m \newlineHeight (hh): 22 m
  2. Plug Given Values: Plug the given values into the formula to calculate the volume.\newlineUsing the given values, the volume VV is calculated as follows:\newlineV=π×(4m)2×(2m)V = \pi \times (4 \, \text{m})^2 \times (2 \, \text{m})
  3. Calculate Radius Square: Calculate the square of the radius.\newline(4m)2=16m2(4 \, \text{m})^2 = 16 \, \text{m}^2
  4. Use Approximation of Pi: Use the approximation of π\pi (pi) as 3.143.14 to calculate the volume.V=3.14×16m2×2mV = 3.14 \times 16 \, \text{m}^2 \times 2 \, \text{m}
  5. Perform Multiplication: Perform the multiplication to find the volume.\newlineV=3.14×32m3V = 3.14 \times 32 \, \text{m}^3\newlineV=100.48m3V = 100.48 \, \text{m}^3
  6. Round to Nearest Tenth: Round the volume to the nearest tenth. The volume rounded to the nearest tenth is 100.5m3100.5\,\text{m}^3.

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