Answer:
18 cm
Explanation:
The formula for the lateral surface area of a cylinder is
=>2πrh
In the question:
The lateral surface area of a cylinder is 288π square centimeters.
The height of the cylinder is 16 centimeters.
Hence:
288π => 2πrh
288π => 2 × π × r × 16
288π => 32πr
r => 288π/32π
r => 9 cm
The formula of Diameter is 2 × radius
= 2 × 9 cm
Diameter =>18 cm
The diameter of the cylinder in centimeters is 18 cm