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Answer :
Final answer:
To find out how much of a gallon of ice cream will fill the cone, we calculate the volume of the cone using the formula V = (1/3)πr²h, where r is the radius and h is the height. After calculating the volume in cubic inches, we convert it to gallons using the conversion factor of 231 cubic inches per gallon, which gives us approximately 0.06 gallons.
Explanation:
To calculate the amount of a gallon of ice cream that will fill a cone, we need to use the volume formula for a cone, which is V = (1/3)πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. Given that the height (h) of the cone is 7 inches and the radius (r) is 1.4 inches, we can compute the volume of the cone:
V = (1/3)π(1.4 in)²(7 in) = (1/3)π(1.96 in²)(7 in) = 14.3 in³ (approximately)
Next, we convert the volume in cubic inches to gallons knowing that there are 231 cubic inches in 1 gallon:
Volume in gallons = 14.3 in³ / 231 in³/gallon ≈ 0.06 gallons
Therefore, about 0.06 gallons of ice cream will fill the cone.
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