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: s=4(pi)^2
to find the radius of the pinata. Round your answer to the nearest hundredth.
_____ feet
To find the radius of the piñata, we will rearrange the formula for the surface area of a sphere. The formula is:
s = 4πr2,
where s is the surface area, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.
In this case, the surface area is given as 50 square feet. So, we can use the formula to solve for the radius:
50 = 4πr2.
To isolate the radius (r), divide both sides of the equation by 4π:
50 / (4π) = r2.
Now, let's evaluate the right side of the equation:
r2 ≈ 50 / (4 * 3.14159).
r2 ≈ 3.1831.
To solve for r, take the square root of both sides of the equation:
r ≈ √3.1831.
r ≈ 1.783 feet.
Therefore, the radius of the piñata is approximately 1.783 feet.
Surface area= 4pi(r)^2
Surface area= 50
Pi=3.14
Plug it in and solve for r