
Ray C. answered 09/26/19
Stanford Grad with 18 yrs of Geometry Teaching and Tutoring Experience
Quan,
You asked -
Toy rubber balls are packaged in a cylinder that holds 3 balls. The diameter of each ball is 4.7 cm. Find the volume of the cylinder. Use 3.14 for pi.
Answer:
With 3 stacked balls, the cylinder diameter is the same as the ball's diameter so that is 4.7 cm.
The height of the cylinder is 3 x diameter of the ball = 4.7*3 = 14.1 cm.
Next we need to know the volume of a cylinder. This is calculated by finding the area of the base times the height.
The base area is pi*radius^2 = 3.14*(4.7/2)^2 = 17.35 cm^2 (rounded).
Now multiply by the height to get the volume = 17.35 * 14.1 = 244.63 cubic cm.
Regards,
Ray