QQuestionMathematics
QuestionMathematics
# Find the approximate diameter of the cylinder. diameter = *Round to the nearest whole number
Volume = 7599 m³
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Answer
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Step 1:: To find the approximate diameter of the cylinder, we first need to use the formula for the volume of a cylinder and solve for the radius.
Where $V$ is the volume, $r$ is the radius, and $h$ is the height.
The formula for the volume of a cylinder is: In this case, the volume is given as 7599 m³ and the height is 4.8 m.
Step 2:: Substitute the given values into the formula:
7599~\text{m}^3 = \pi r^{2} (4.8~\text{m})
Step 3:: Solve for $r$ by dividing both sides by $4.8\pi$:
r^{2} = \frac{7599~\text{m}^3}{4.8\pi~\text{m}} \approx 509.21~\text{m}^2
Step 4:: Take the square root of both sides to find the radius:
r = \sqrt{509.21~\text{m}^2} \approx 22.57~\text{m}
Step 5:: Now, find the diameter by multiplying the radius by 2:
d = 2r \approx 2 \times 22.57~\text{m} \approx 45.14~\text{m}
Step 6:: Round the diameter to the nearest whole number:
d \approx 45~\text{m}
Final Answer
The approximate diameter of the cylinder is 45 m.
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