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Question about Spatial Geometry: Metric Relations of Cones

Mathematics

Originais Teachy

Spatial Geometry: Metric Relations of Cones

Easy

(Originais Teachy 2023) - Question Easy of Mathematics

A right cone has a volume of 100π cm³ and its height is twice the radius of the base. Considering that the relationship between the volume (V), the height (h), and the radius of the base (r) of a right cone is given by V = (1/3) π r²h, calculate the exact value of the height and the radius of the base of this cone. Then, check if the obtained measurements satisfy the condition that the height is twice the radius of the base.

Answer sheet:

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