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?
V = 4/3 (pi)(r^3)
4/3 x 3.14/1 = 1.395
1.395(24^3)
1.395 x 13,824
V = 19,284.48
but 24 inches = 2 feet
so r = 1 foot
(4/3) pi (1)^3 = 4.19 ft^3
by the way
4/3 x 3.14/1 = 1.395 is wrong --- should be 4.19
To find the volume (V) of the beach ball, you can use the formula for the volume of a sphere:
V = 4/3 × π × r^3
Given that the radius (r) of the beach ball is 24 inches, you can substitute the value into the formula:
V = 4/3 × 3.14 × (24^3)
Now, solve for the volume:
V = 4/3 × 3.14 × 13,824
V ≈ 19,284.48
So, it would take approximately 19,284.48 cubic inches of water to fill the beach ball.
To calculate how much water it will take to fill the beach ball, you can use the formula for the volume of a sphere, which is V = 4/3 * π * r^3. In this case, the radius (r) is given as 24 inches.
So to find the volume (V), you need to substitute the value of the radius into the formula. Start by calculating the value of 4/3 times π. The approximate value of π is 3.14, so 4/3 * 3.14 is equal to approximately 4.186.
Next, raise the radius (24 inches) to the power of 3, giving you 24^3 = 13,824.
Now, multiply the value of 4.186 by 13,824, which gives you 57,832.864.
Therefore, it will take approximately 57,832.864 cubic inches of water to fill the beach ball. Rounding the answer to two decimal places, the amount of water needed is approximately 57,832.86 cubic inches.