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A cylinder has a base radius of 
6ft and a height of 
13ft. What is its volume in cubic 
ft, to the nearest tenths place?
Answer: 
V= 
ft^(3)

A cylinder has a base radius of 6ft 6 \mathrm{ft} and a height of 13ft 13 \mathrm{ft} . What is its volume in cubic ft \mathrm{ft} , to the nearest tenths place?\newlineAnswer: V= V= ft3 \mathrm{ft}^{3}

Full solution

Q. A cylinder has a base radius of 6ft 6 \mathrm{ft} and a height of 13ft 13 \mathrm{ft} . What is its volume in cubic ft \mathrm{ft} , to the nearest tenths place?\newlineAnswer: V= V= ft3 \mathrm{ft}^{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. Plug Given Values: Plug the given values into the formula.\newlineGiven: r=6ftr = 6\,\text{ft}, h=13fth = 13\,\text{ft}\newlineV=π×(6ft)2×13ftV = \pi \times (6\,\text{ft})^2 \times 13\,\text{ft}
  3. Calculate Volume: Calculate the volume using the given values.\newlineV=π×36ft2×13ftV = \pi \times 36\text{ft}^2 \times 13\text{ft}\newlineV=π×468ft3V = \pi \times 468\text{ft}^3
  4. Evaluate Expression: Evaluate the expression to find the volume.\newlineUsing π3.1416\pi \approx 3.1416, we get:\newlineV3.1416×468ft3V \approx 3.1416 \times 468\text{ft}^3\newlineV1470.9888ft3V \approx 1470.9888\text{ft}^3
  5. Round Volume: Round the volume to the nearest tenth. V1471.0ft3V \approx 1471.0\,\text{ft}^3

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