Jack is going to fill his beach ball with water. The radius of the ball is 24in. How much water will it take to fill the beach ball?
4/3(3.14)
4.19 (2)^3
4.19 (8)
33.52
Instead of using 24in. I used 2ft. Instead since 24in. Equals 2 ft.
The answer is 33.52 cubic feet of water.
To find the volume of the beach ball, we can use the formula for the volume of a sphere, which is V = (4/3)πr^3, where V is the volume and r is the radius.
Given that the radius of the beach ball is 24 inches, we can substitute this value into the formula:
V = (4/3)π(24^3)
V = (4/3)(3.14)(13824)
V ≈ 18349.44 cubic inches
However, you mentioned using 2 feet instead of 24 inches. To convert the radius from feet to inches, we need to multiply it by 12 since there are 12 inches in 1 foot.
Using 2 feet:
Radius = 2 feet * 12 inches/foot
Radius = 24 inches
Now we can substitute the corrected radius into the formula:
V = (4/3)π(24^3)
V = (4/3)(3.14)(13824)
V ≈ 18349.44 cubic inches
So it will take approximately 18349.44 cubic inches of water to fill the beach ball.
To calculate the amount of water needed to fill the beach ball, we can use the formula for the volume of a sphere: V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.
In this case, the radius of the beach ball is given as 24 inches. However, you mentioned that you used 2 feet instead (since 24 inches equals 2 feet). So, let's recalculate the volume using the new radius of 2 feet.
Using the formula: V = (4/3)π(2^3)
First, calculate the value in the parentheses: (2^3) = 8
Now plug the value into the formula: V = (4/3)π(8)
Next, multiply the value of π (approximately 3.14) by 8.
V ≈ (4/3) * 3.14 * 8
Simplify the expression: V ≈ 4.19 * 8
Multiply: V ≈ 33.52
Therefore, it will take approximately 33.52 units of water to fill the beach ball when using a radius of 2 feet.