What's the surface area of a cylinder with a radius 3 feet and height of 4 feet?

Solution:

Given, r = 3 feet and h = 4 feet

The total surface area of the cylinder is obtained by adding the area of the two bases and the area of the curved surface area.

Curved Surface area of the cylinder = length × height

CSA = 2πr × h = 2πrh

Total surface area = πr² + 2πrh + πr²

= 2πr² + 2πrh

= 2πr(h + r)

Now in the given question,

Radius = r = 3ft and Height = h = 4ft

Curved surface area = 2π(3)(4) = 24π

Total Surface area = 2(π)(3)(3 + 4) = 42π ≈ 131.94689.

What's the surface area of a cylinder with radius 3 feet and height 4 feet?

Summary:

The surface area of a cylinder with radius 3 feet and height 4 feet (i) Curved surface area = 24π (ii) Total surface area = 42π