The surface area of the solid created upon dilation is 42pi square units.
Given:
1. A cylinder dilated by a scale factor of 1/2
2. Radius = 7
3. Height = 5
Desired Outcome:
The surface area of the solid created upon dilation
Formula for Surface Area of a cylinder
SA = 2πrh+ 2πr²
Surface of the cylinder before dilation
SA before dilation = 2π. 7-5 + 2π. 72 = 70π + 98π = 168π
Surface of the cylinder after dilation
SA after dilation = 1687 × (1/2)^2
= 168 × 1/4
= 42π
Complete question:
The solid below is dilated by a scale factor of 1/2. Find the surface area of the solid created upon dilation. Answer in terms of π