ind the radius of a sphere with a surface area of 804 cm2
oops. I was thinking volume
804 = 4 pi r^2
r = √(201/pi) ~= 8.00
804 = 4/3 pi r^3
r = ∛(603/pi) ~= 5.77
4xpix8x8
To find the radius of a sphere with a given surface area, you can use the formula for the surface area of a sphere:
Surface Area = 4πr²
Where:
- Surface Area is the given surface area of the sphere
- π (pi) is a mathematical constant approximately equal to 3.14159
- r is the radius of the sphere
In this case, the given surface area is 804 cm². Plugging this value into the formula, we get:
804 = 4πr²
To solve for r (the radius), we need to rearrange the formula and isolate r. Divide both sides of the equation by 4π:
804 / 4π = r²
Now, divide the left side by 4π using a calculator:
804 / (4 × π) ≈ 63.989 cm²
Now, we have:
63.989 = r²
To solve for r, we take the square root of both sides:
√63.989 ≈ 7.998 cm
Rounded to three decimal places, the radius of the sphere is approximately 7.998 cm.