Find the surface area of the cylinder below. Use the approximation 3.14 for pi
The height of the cylinder is 15 cm and the diameter of the cylinder is 5 cm
So i believe you meant radius (radius is horizontal length basically like how LONG , not tall but long smth is) anyways! It should be 628 square centimeters <3
The radius of the cylinder is half the diameter, so the radius is 5 cm / 2 = 2.5 cm.
The formula for the surface area of a cylinder is given as:
Surface Area = 2πr(r + h)
First, let's calculate the base and top surface areas of the cylinder:
Base and top area = 2πr²
= 2 * 3.14 * (2.5 cm)²
= 2 * 3.14 * 6.25 cm²
= 39.25 cm²
Next, let's calculate the lateral surface area of the cylinder:
Lateral area = 2πrh
= 2 * 3.14 * (2.5 cm)(15 cm)
= 2 * 3.14 * 37.5 cm²
= 235.5 cm²
Finally, let's sum up the base and top surface areas with the lateral surface area to find the total surface area of the cylinder:
Surface Area = Base and top area + Lateral area
= 39.25 cm² + 235.5 cm²
= 274.75 cm²
Therefore, the surface area of the cylinder is approximately 274.75 cm².