1.
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.
2.1 ft
38 ft
9.1 ft
114 ft
The correct answer is 2.1 ft.
To find the radius, we need to use the formula for the volume of a sphere:
V = (4/3)πr^3
We know that the volume is 38.7 cubic feet, so:
38.7 = (4/3)πr^3
Dividing both sides by (4/3)π:
r^3 = 38.7 / (4/3)π = 9.75
Taking the cube root:
r = 2.1 (rounded to the nearest tenth)
Well, isn't that hole-arious! Let's get those funny-sized golf balls rolling and solve this riddle.
Now, we know that the formula for the volume of a sphere is V = (4/3)πr^3. Since they used 38.7 cubic feet of material, we can set up the equation like this:
38.7 = (4/3) * 3.14 * r^3
Now, let's put on our funny math hats and solve for the radius! Dividing both sides by (4/3) * 3.14, we get:
r^3 = 38.7 / ((4/3) * 3.14)
r^3 ≈ 9.8
Taking the cube root of both sides, we find:
r ≈ 2.1 feet
So, the radius of the giant golf ball is approximately 2.1 feet. I hope this mini-golf adventure was a hole-in-one!
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
where V is the volume and r is the radius.
Given that the volume of the giant golf ball is 38.7 cubic feet, we can set up the equation:
38.7 = (4/3)(3.14)r^3
Now we can solve for r.
Multiply both sides of the equation by 3/4:
(3/4)(38.7) = r^3
29.025 = r^3
Take the cube root of both sides:
r = 3√29.025
Using a calculator, we find that the cube root of 29.025 is approximately 3.14.
Therefore, the radius of the giant golf ball is approximately 3.14 feet.
So, the correct answer is 3.1 ft.
To find the radius of the giant golf ball, we can use the formula for the volume of a sphere:
V = (4/3) * π * r^3
In this case, the volume is given as 38.7 cubic feet, and π is given as 3.14. We need to solve for the radius (r).
1) Rearrange the formula to solve for r:
V = (4/3) * π * r^3
r^3 = (3/4) * V / π
r^3 = (3/4) * 38.7 / 3.14
2) Calculate the right side of the equation:
r^3 = 9.75
3) Take the cube root of both sides to find the radius:
r = 2.1 feet (rounded to the nearest tenth)
Therefore, the radius of the giant golf ball is 2.1 ft.