The answer is: " 628 mm³ " ; or, write as: " 200π mm³ " .
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Explanation:
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Formula for the Volume of a cone:
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V = (⅓)*π*r² * h ;
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in which:
V = volume (which we want to solve);
π (pi) ≈ 3.14 ;
r = radius (of circle at the base of the cone = 10 mm ;
h = height (perpendicular height) = 6 mm ;
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There are 2 (TWO) possible answers:
1) Let's start with finding the volume of this cone, 'in terms of π' ;
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V = (⅓)*π*r² * h ;
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Plug in known values, except keeping the "π" (pi) symbol as it is ;
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V = (⅓)*π*(10 mm)² * (6 mm) ;
V = (⅓)*π*(100 mm² * (6 mm) ;
→ V = 200π mm³ .
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2) Now, let us find the numeric volume of this cone:
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The volume of the cone:
V = (⅓)*π*r² * h ;
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Plug in known values ; INCLUDING "3.14" as an approximation for "π" ;
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V = (⅓)*(3.14)*(10 mm)² * (6 mm) ;
V = (⅓)*(3.14)*(100 mm²) * (6 mm) ;
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→ (⅓)*(100 mm²) * (6 mm) = 200 mm³
→ V = (3.14) * 200 mm³ ;
→ V = 628 mm³ .
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