Sally's mom had the idea of making cone-shaped molds out of pink-colored chocolate to adorn a princess cake. Her plan involved melting chocolate and pouring it into cones with a diameter of \( 1\frac{7}{8}\) in and a height of \( 4 \frac{5}{8} \) in. She wants to estimate how many ounces of chocolate she needs to melt to make 4 pink chocolate cones.First, she needs to change the fractions into decimals. The diameter is Blank 1 Question 12 and the height is Blank 2 Question 12 . Next, she finds the volume of the cone.Last, she needs to convert the volume from cubic in to ounces. She looks up the conversion of cubic inches to ounces. 1 in3 = 0.554 ounces.She needs a total of Blank 3 Question 12 ounces of chocolate.
Question
Sally's mom had the idea of making cone-shaped molds out of pink-colored chocolate to adorn a princess cake. Her plan involved melting chocolate and pouring it into cones with a diameter of in and a height of in. She wants to estimate how many ounces of chocolate she needs to melt to make 4 pink chocolate cones.First, she needs to change the fractions into decimals. The diameter is Blank 1 Question 12 and the height is Blank 2 Question 12 . Next, she finds the volume of the cone.Last, she needs to convert the volume from cubic in to ounces. She looks up the conversion of cubic inches to ounces. 1 in3 = 0.554 ounces.She needs a total of Blank 3 Question 12 ounces of chocolate.
Solution
First, we need to convert the fractions into decimals.
1 7/8 inches is approximately 1.875 inches and 4 5/8 inches is approximately 4.625 inches.
Next, we find the volume of the cone. The formula for the volume of a cone is (1/3)πr²h, where r is the radius and h is the height.
The radius is half of the diameter, so r = 1.875/2 = 0.9375 inches.
So, the volume of one cone is (1/3)π(0.9375)²(4.625) = 4.08 cubic inches.
Since she wants to make 4 cones, the total volume is 4 * 4.08 = 16.32 cubic inches.
Finally, we convert the volume from cubic inches to ounces.
Using the conversion factor 1 in³ = 0.554 ounces, we find that 16.32 in³ * 0.554 oz/in³ = 9.03 ounces.
So, Sally's mom needs approximately 9.03 ounces of chocolate.
Similar Questions
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