The cylinder shown has a lateral surface area of about 400 square inches. Which answer is closest to the measure of the cylinder's radius? Use 3.14 to approximate pi.
![The cylinder shown has a lateral surface area of about 400 square inches Which answer is closest to the measure of the cylinders radius Use 314 to approximate p class=](https://us-static.z-dn.net/files/d09/fd201c762642a96145e2169987dbff57.png)
![The cylinder shown has a lateral surface area of about 400 square inches Which answer is closest to the measure of the cylinders radius Use 314 to approximate p class=](https://us-static.z-dn.net/files/d85/5f687749e4d6256e7e39187a81bf4cfc.png)
The formula for lateral surface of a cylinder is:
SA = 2 *PI * r *h
Replace the letters with the given values:
400 = 2 * PI * r *40
Multiply the right side:
400 = r * 251.2
Divide both sides by 251.2:
r = 400 / 251.2
r = 1.59
The radius is 1.59 inches.