An ice cream scoop has a diameter of 2 1/2 inches. What is the volume of the sphere-shape scoop of ice cream that the scooper makes?
6.54 in3
8.18 in3****
19.63 in3
64.45 in3
can someone help me on this question i don't get it..
udhgvwhDA HI PEOPLE FROM THE PAST!
good!
Well, if you treat that scoop of ice cream like a sphere, then you can calculate its volume using the formula V = (4/3)πr³. Now, the diameter is given as 2 1/2 inches, which means the radius is 1 1/4 inches. Let me just crunch the numbers here... Ah yes, the correct answer is 8.18 in³! That's one cool scoop of ice cream!
To find the volume of the sphere-shaped scoop of ice cream made by the ice cream scoop, we can use the formula for the volume of a sphere: V = (4/3) * π * r^3, where V represents the volume and r represents the radius of the sphere.
First, we need to find the radius of the sphere since we are given the diameter. The formula to convert diameter to radius is: radius = diameter / 2.
Given that the diameter of the ice cream scoop is 2 1/2 inches, we convert it to a mixed number fraction: 2 1/2. Now, we divide this mixed number fraction by 2 to find the radius:
2 1/2 ÷ 2 = (5/2) ÷ 2 = 5/4 = 1 1/4
So, the radius of the sphere-shaped scoop of ice cream is 1 1/4 inches.
Now, we can substitute this radius value into the volume formula:
V = (4/3) * π * (1 1/4)^3
To compute this, we need to convert the mixed number fraction to an improper fraction:
(4/3) * π * (5/4)^3 = (4/3) * π * (125/64)
Now, we can simplify this expression:
(4/3) * π * (125/64) = (4 * 125 * π) / (3 * 64)
Now, we can calculate the volume:
V = (500π) / 192
Approximating π as 3.14:
V ≈ (500 * 3.14) / 192
V ≈ 8.19 in^3 (rounded to the nearest hundredth)
Therefore, the volume of the sphere-shaped scoop of ice cream made by the ice cream scoop is approximately 8.19 in^3. So, the closest option given is 8.18 in^3.