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.
1 ft = 12 in
2 ft = 24 in
r = 24 in = 2 ft
The volume of a ball:
V = ( 4 / 3 ) * pi * r ^ 3 =
( 4 * pi / 3 ) * 2 ^ 3 =
( 4 * 3.1416 / 3 ) * 2 ^ 3 =
( 12.5664 / 3 ) * 2 ^ 3 =
4.1888 * 2 ^ 3 =
4.1888 * 8 = = 33.5104 ft ^ 3
To calculate the volume of the beach ball, we can use the formula for the volume of a sphere:
Volume = (4/3) * π * radius^3
Since the radius of the ball is 24 inches, we'll substitute that into the formula:
Volume = (4/3) * 3.14 * (24in)^3
Simplifying the equation:
Volume = (4/3) * 3.14 * (13824in^3)
Volume = (4/3) * 3.14 * 13824in^3
Volume ≈ 72382.08in^3
Since 1 cubic foot is equal to 1728 cubic inches, let's convert the volume from cubic inches to cubic feet:
Volume ≈ 72382.08in^3 ÷ 1728in^3/ft^3
Volume ≈ 41.91ft^3
Therefore, it will take approximately 41.91 cubic feet of water to fill the beach ball.
To determine the amount of water needed to fill the beach ball, we need to calculate the volume of the ball.
The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius.
In this case, the radius of the beach ball is 24 inches or 2 feet. Let's substitute this value into the formula:
V = (4/3)π(2)^3
Calculating the value inside the parentheses first:
V = (4/3)π(8)
Now, multiplying π(8):
V = (4/3)(8π)
Simplifying further:
V = (32/3)π
So the volume of the beach ball is (32/3)π cubic units.
Now, to find the amount of water needed, we need to know the unit of measurement for the volume. Assuming it's in liters, we can convert the volume to liters if necessary.