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A cylinder has a base diameter of 
20ft and a height of 
10ft. What is its volume in cubic 
ft, to the nearest tenths place?
Answer: 
V= 
ft^(3)

A cylinder has a base diameter of 20ft 20 \mathrm{ft} and a height of 10ft 10 \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 diameter of 20ft 20 \mathrm{ft} and a height of 10ft 10 \mathrm{ft} . What is its volume in cubic ft \mathrm{ft} , to the nearest tenths place?\newlineAnswer: V= V= ft3 \mathrm{ft}^{3}
  1. Write Volume Formula: Write down the formula for the volume of a cylinder.\newlineThe volume of a cylinder ( extit{V}) is given by the formula V = \[pi\]r^2h, where rr is the radius of the base and hh is the height of the cylinder.
  2. Calculate Base Radius: Calculate the radius of the base of the cylinder.\newlineThe diameter of the base is given as 2020 feet. The radius is half of the diameter, so r=diameter/2=20ft/2=10ftr = \text{diameter} / 2 = 20\,\text{ft} / 2 = 10\,\text{ft}.
  3. Substitute Values: Substitute the values of the radius and height into the volume formula.\newlineUsing the radius r=10ftr = 10\,\text{ft} and the height h=10fth = 10\,\text{ft}, we substitute these values into the volume formula: V=π(10ft)2(10ft)V = \pi(10\,\text{ft})^2(10\,\text{ft}).
  4. Calculate Volume: Calculate the volume of the cylinder. V=π(10ft)2(10ft)=π(100ft2)(10ft)=π(1000ft3)=3141.59ft3V = \pi(10\,\text{ft})^2(10\,\text{ft}) = \pi(100\,\text{ft}^2)(10\,\text{ft}) = \pi(1000\,\text{ft}^3) = 3141.59\,\text{ft}^3 (using π3.14159\pi \approx 3.14159).
  5. Round to Nearest Tenth: Round the volume to the nearest tenth.\newlineRounding 3141.59ft33141.59\,\text{ft}^3 to the nearest tenth gives us 3141.6ft33141.6\,\text{ft}^3.

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