A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is th

A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the surface area of the tank (including the top and bottom)?

A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the surface area of the tank (including the top and bottom)?

Step 1: Identify the formula for the surface area of a cylinder, which is Surface Area = 2πr(h + r).
Step 2: Identify the values needed for the formula: the radius (r) is 3 meters and the height (h) is 5 meters.
Step 3: Substitute the values into the formula: Surface Area = 2 * π * 3 * (5 + 3).
Step 4: Calculate the value inside the parentheses: (5 + 3) = 8.
Step 5: Now the formula looks like this: Surface Area = 2 * π * 3 * 8.
Step 6: Calculate 2 * 3 = 6.
Step 7: Now multiply 6 by 8: 6 * 8 = 48.
Step 8: Finally, multiply 48 by π (approximately 3.14): 48 * 3.14 = 150.72.
Step 9: The surface area of the tank is 150.72 square meters.

Surface Area of a Cylinder – The formula for the surface area of a cylinder includes the lateral area and the area of the two circular bases.
Application of Formulas – Understanding how to correctly apply the surface area formula for a cylinder, including the correct values for radius and height.