Find the surface area of a cylinder with a base radius of 3m and a height of 4m. Write your answer in terms of π, and be sure to include the correct unit.

Question

asked Nov 12, 2024 68.7k views

1 Answer

Phoste · Answer 1 · 2024-11-18T21:54:13+0000

The surface area of the cylinder is 42π m².

The surface area of a cylinder is the sum of the areas of its two bases and its lateral surface. To find the surface area, we can use the formula:

Surface Area = 2*pi*r^2 + 2*pi*r*h

Given that the base radius (r) is 3m and the height (h) is 4m, we can substitute these values into the formula:

Surface Area = 2*pi*(3^2) + 2*pi*(3*4)

= 2*pi*9 + 2*pi*12

= 18*pi + 24*pi

= 42*pi

Therefore, the surface area of the cylinder is 42pi m².