find the surface area of the cylinder, use the approximation 3.14 for pi.
the height is 15 cm and the radius is 5 cm
a. 626 cm
b. 628 square cm
c. 533.8 square cm
d. 1,099 square cm
To find the surface area of a cylinder, you need to calculate the sum of the areas of the two circular bases and the lateral surface area.
The area of each circular base can be found using the formula A = πr², where r is the radius.
Area of the circular base = π(5 cm)² = 3.14 * 25 = 78.5 cm²
The lateral surface area (LSA) can be calculated by multiplying the circumference of the base (C) by the height (h). The circumference of a circle is found using the formula C = 2πr.
Circumference of the base = 2π(5 cm) = 31.4 cm
Lateral surface area = 31.4 cm * 15 cm = 471 cm²
Now, add the areas of the two circular bases and the lateral surface area to find the total surface area of the cylinder:
Total surface area = 2(area of the base) + LSA
= 2(78.5 cm²) + 471 cm²
= 157 cm² + 471 cm²
= 628 cm²
Therefore, the surface area of the cylinder, using the approximation 3.14 for pi, is 628 square cm. The correct answer is option b.