A geologist wants to estimate the volume of earth inside a mountain. Which object would provide the best estimate of the mountain’s volume? A. Rectangular Prism B. Triangle C. Cylinder D. Cone
Mathematics · Middle School · Mon Jan 18 2021
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The object that would provide the best estimate of the mountain's volume is:
C. Cylinder
A cylinder is a three-dimensional geometric shape that closely approximates the shape of many mountains. Mountains often have a roughly cylindrical or conical shape. Estimating the volume of a mountain using a cylinder would involve measuring the base area and height of the mountain and applying the formula for the volume of a cylinder, which is V = πr²h, where "r" is the radius of the base and "h" is the height. This method assumes a simplified shape for the mountain, and while it won't be entirely accurate due to the irregularities of natural terrain, it provides a reasonable estimate for geological purposes.