The lateral surface area of a cylinder is 288π square centimeters. The height of the cylinder is 16 centimeters. What is the diameter of the cylinder in centimeters?

18 cm

Step-by-step 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

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

i believe the answer is c.