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A cylinder has a base radius of 6 feet and a height of 8 feet. What is its volume in cubic feet, to the nearest tenths place? Answer: V= feet ^(3)

A cylinder has a base radius of 66 feet and a height of 88 feet. What is its volume in cubic feet, to the nearest tenths place?\newlineAnswer: V= V= feet 3 { }^{3}

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Find the rate of change of one variable when rate of change of other variable is givenright chevron icon

Full solution

Q. A cylinder has a base radius of 66 feet and a height of 88 feet. What is its volume in cubic feet, to the nearest tenths place?\newlineAnswer: V= V= feet 3 { }^{3}
  1. Formula Explanation: The formula to calculate the volume of a cylinder is V=πr2hV = \pi r^2 h, where rr is the radius and hh is the height.
  2. Substitution Step: Substitute the given values into the formula: V=π(6 feet)2(8 feet)V = \pi(6 \text{ feet})^2(8 \text{ feet}).
  3. Volume Calculation: Calculate the volume: V=π(36 feet2)(8 feet)=π(288 feet3)V = \pi(36 \text{ feet}^2)(8 \text{ feet}) = \pi(288 \text{ feet}^3).
  4. Multiplication Step: Multiply to find the volume: V=π×288 feet3≈3.14159×288 feet3≈904.7787 feet3V = \pi \times 288 \text{ feet}^3 \approx 3.14159 \times 288 \text{ feet}^3 \approx 904.7787 \text{ feet}^3.
  5. Rounding Step: Round the volume to the nearest tenth: V≈904.8V \approx 904.8 feet3^3.

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