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 tank is a cylinder, so its volume must be found with the formula that matches a cylinder's shape.
The volume of a cylinder is \(V=\pi r^2 h\), using the radius and height taken by careful measurement.
Treating it as a cube, a sphere, or judging by eye assumes the wrong shape and gives an inaccurate result.
Only the cylinder formula applied to precise measurements of diameter and height gives the true volume before filling.
Hence, the answer is Calculate using the formula for the volume of a cylinder based on precise measurements.
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Important Questions from 3-D Mensuration
- Find the surface area of a sphere whose diameter is equal to 98 cm.
- A conical vessel has base radius 31 cm and height 45 cm. Water is poured into the vessel until it is $\frac{2}{3}$ full. Find the volume (in cm³) of water in the vessel.
- A solid metallic sphere of radius 10 cm is melted and recast into 125 identical spheres. What is the ratio of the surface area of the original sphere to the total surface area of 6 smaller spheres so formed?
- Find the volume (in cm³) of the largest right circular cone that can be cut out from a cube with an edge of 8 cm. Use $\pi = \frac{22}{7}$
- The volume of a solid cylinder is 5852 cm³ and its height is 38 cm. What is the total surface area of the solid cylinder? (Round your answer to the nearest integer) (Use $\pi = \frac{22}{7}$)
