A ball has a radius of 56mm
a)Calculate the surface area
b)what is the volume of the sphere
could somebody please answer for my math homework I need help
Surface area= 4pir^2
= 4(pi)(56^2)
= 39408mm^2
Volume = (4/3)pir^3
= (4/3)pi(56^3)
= 735618.58mm^3
Certainly! I can help you with your math homework.
a) Surface Area of a Sphere:
The formula to calculate the surface area of a sphere is given by:
Surface Area = 4π(radius)²
To find the surface area of the ball with a radius of 56mm, we can plug the value into the formula:
Surface Area = 4π(56)²
Simplifying the expression, we have:
Surface Area = 4π(3136)
Surface Area ≈ 4(3.14)(3136)
Surface Area ≈ 39512.64 mm² (rounded to two decimal places)
Therefore, the surface area of the ball is approximately 39512.64 mm².
b) Volume of a Sphere:
The formula to calculate the volume of a sphere is given by:
Volume = (4/3)π(radius)³
Substituting the radius of 56mm into the formula:
Volume = (4/3)π(56)³
Simplifying the expression, we have:
Volume = (4/3)π(175616)
Volume ≈ (4/3)(3.14)(175616)
Volume ≈ 1.333(3.14)(175616)
Volume ≈ 370816061.866 cubic millimeters (rounded to three decimal places)
Therefore, the volume of the sphere with a radius of 56mm is approximately 370816061.866 cubic millimeters.
I hope this explanation helps you in understanding how to solve these types of problems! Let me know if you have any further questions.