Question

Find the volume of a solid rotated calculator.

A) Volume by disks method
B) Linear interpolation
C) Logarithmic scale
D) Quadratic regression

Answer 1

The volume of a solid rotated calculator can be found using the Volume by disks method. This involves approximating the solid with circular discs and summing their volumes.

Step-by-step explanation:

The volume of a solid rotated calculator can be found using the Volume by disks method. This method involves approximating the solid with a series of circular discs and summing their volumes. Here is a step-by-step process:

1. Determine the function that represents the shape of the solid.
2. Identify the interval over which the solid is being rotated.
3. Divide the interval into small subintervals.
4. For each subinterval, find the radius of the circular disc at that point.
5. Find the area of the circular disc using the formula A = πr^2.
6. Multiply the area of each disc by the width of its subinterval to get the volume of each disc.
7. Sum up the volumes of all the discs to get the total volume of the solid.