What is the approximate volume of the sphere if the surface area is 482.8 mm²?
(1 point)
Responses
998 mm³
998 mm³
1,126 mm³
1,126 mm³
2,042 mm ³
2,042 mm ³
2,993 mm³
2,993 mm³
To find the approximate volume of the sphere, we can use the formula:
Surface Area = 4πr²
Given the surface area as 482.8 mm², we can solve for the radius:
4πr² = 482.8 mm²
Dividing both sides by 4π:
r² = 482.8 mm² / 4π
r² ≈ 38.74107142857143 mm²
Taking the square root of both sides:
r ≈ √(38.74107142857143 mm²)
r ≈ 6.219 mm
Using the formula for the volume of a sphere:
Volume = (4/3)πr³
Volume ≈ (4/3)π(6.219 mm)³
Volume ≈ (4/3)π(240.845 mm³)
Volume ≈ 1,013.93 mm³
Therefore, the approximate volume of the sphere is 1,013.93 mm³.