Question
What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Use 3.14 for pi. Round your answer to the nearest hundredth.
Answers
GPT 3.5
The radius of the cone is half the diameter, or 6/2=<<6/2=3>>3 inches.
The volume of a cone is given by the formula V=1/3πr^2h, where r is the radius and h is the height.
Substituting the given values, we get V=1/3×3.14×3^2×7.
Simplifying the expression inside the parentheses first gives V=1/3×3.14×9×7.
Multiplying the fractions together gives V=1.5234×3.14×7.
Multiplying V=1.5234×3.14 by 7 gives V=10.888×7.
Multiplying V=10.888 by 7 gives V=76.216.
Rounding to the nearest hundredth gives a volume of 76.22 cubic inches. Answer: \boxed{76.22}.
The volume of a cone is given by the formula V=1/3πr^2h, where r is the radius and h is the height.
Substituting the given values, we get V=1/3×3.14×3^2×7.
Simplifying the expression inside the parentheses first gives V=1/3×3.14×9×7.
Multiplying the fractions together gives V=1.5234×3.14×7.
Multiplying V=1.5234×3.14 by 7 gives V=10.888×7.
Multiplying V=10.888 by 7 gives V=76.216.
Rounding to the nearest hundredth gives a volume of 76.22 cubic inches. Answer: \boxed{76.22}.
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