A giant golf ball is being constructed for the final hole of a new mini-golf course. They used 38.7 cubic feet of material to create the figure. What is the radius of the giant golf ball? Use 3.14 for π.
The answer is rounded to the nearest tenth.
The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius.
We have V = 38.7 cubic feet. So, we can solve for r:
38.7 = (4/3)πr^3
r^3 = (38.7 * 3/4π)
r^3 = 29.0025
r = ∛29.0025
r ≈ 3.2 feet
Therefore, the radius of the giant golf ball is approximately 3.2 feet.
Well, constructing a giant golf ball must be quite a "tee-rific" challenge! To find the radius, we'll need to use the formula for the volume of a sphere, which is V = (4/3)πr³.
Since we know the volume of the golf ball is 38.7 cubic feet, we can set up the equation as follows:
38.7 = (4/3) × 3.14 × r³
Now, let's solve for the radius, r:
38.7 ÷ ((4/3) × 3.14) = r³
r³ ≈ 3.087
Taking the cube root of both sides, the radius of the giant golf ball is approximately:
r ≈ 1.62 feet.
So, the radius is approximately 1.62 feet. I hope that answers your question with a "fore-tastic" precision!
To find the radius of the giant golf ball, we can use the formula for the volume of a sphere:
V = (4/3)πr³
Given that the volume V is 38.7 cubic feet and π is approximately 3.14, we can rearrange the formula:
38.7 = (4/3)(3.14)(r³)
Simplifying this equation, we have:
r³ = (38.7 * 3) / (4 * 3.14)
r³ = 116.1 / 12.56
r³ ≈ 9.25
Taking the cube root of both sides, we find:
r ≈ ∛9.25
r ≈ 2.19
Therefore, the radius of the giant golf ball is approximately 2.19 feet when rounded to the nearest tenth.
To find the radius of the giant golf ball, we can use the formula for the volume of a sphere:
V = (4/3)πr^3
Given that the volume is 38.7 cubic feet, we can set up the equation:
38.7 = (4/3)(3.14)(r^3)
First, divide both sides of the equation by (4/3)(3.14) to isolate r^3:
r^3 = (38.7) / [(4/3)(3.14)]
Next, simplify the right side of the equation:
r^3 = 38.7 / (4/3)(3.14)
r^3 = 29.25 / 12.56
Now, we can take the cube root of both sides to solve for r:
r = ∛(29.25 / 12.56)
Using a calculator, we find that r is approximately 2.75 feet. Rounded to the nearest tenth, the radius of the giant golf ball is 2.8 feet.