In a workshop, you need to fill a cylindrical tank with a liquid. The tank has a diameter of 1 meter and a height of 2 meters. Which method will give you the most accurate measurement of the tank's volume before filling it?
Calculate using the formula for the volume of a cylinder based on precise measurements
The accuracy of a volume calculation depends on using the formula that matches the true geometric shape of the container being measured.
The tank described is a cylinder, so its volume must be found with the cylinder formula, which relates volume to the base area and the height.
That formula is \(V=\pi r^2 h\), where the radius comes from the 1 metre diameter and \(h\) is the 2 metre height, both taken by careful measurement.
Applying it with precise measurements of diameter and height reproduces the tank's real capacity before any liquid is poured.
Using the cube formula assumes flat square sides the tank does not have, so it badly overstates the volume.
Treating it as a sphere assumes the wrong solid entirely, and judging by eye is only a rough guess, so all three give inaccurate results.
Hence, the answer is Calculate using the formula for the volume of a cylinder based on precise measurements.
Similar Questions
Find the total surface area of a closed cylinder having a base radius of 70 m and a height of 110 m. [Use π = \(22\over7\)]
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Important Questions from 3-D Mensuration
Find the total surface area of a closed cylinder having a base radius of 70 m and a height of 110 m. [Use π = \(22\over7\)]
Which of the following is a geometrical figure with a three-dimensional geometry that has eight vertices and six rectangular faces?
- The curved surface area of a cylinder is half of its total surface area. If its height is 195 cm, then find its diameter (in cm).
The diameter of the base and slant height of a right circular cone are 30 cm and 113 cm, respectively. Find the volume (in cm³) of the given cone.
(Use $\pi = \frac{22}{7}$)- A cylindrical rod has an curved surface area of $4,900 \text{ cm}^2$. If the length of the rod is 97 cm, then the radius (in cm) of the rod, correct to two places of decimal, is:
Take $\pi = \frac{22}{7}$
