Mary is making a pinata that has a ball-like shape. The pinata has a surface area of 50 square feet. Use the formula for the surface area of a sphere:
to find the radius of the pinata. Round your answer to the nearest hundredth.
_____ feet
S = 4pi(r)^2
50 = 4(3.14)r^2
50 = 12.56r^2
sqrt(50/12.56) = r
r = 3.98
3.98 ft
To find the radius of the pinata, we can rearrange the formula for the surface area of a sphere:
Surface Area = 4 * π * r^2
where r is the radius of the sphere.
In this case, the surface area of the pinata is given as 50 square feet. We can substitute this value into the formula:
50 = 4 * π * r^2
To isolate r^2, divide both sides of the equation by 4π:
r^2 = 50 / (4 * π)
Now, we can solve for r by taking the square root of both sides:
r = √(50 / (4 * π))
Simplifying the expression and rounding to the nearest hundredth, we get the following value for the radius of the pinata:
r ≈ 2.99 feet
Therefore, the radius of the pinata is approximately 2.99 feet.