Calculate in terms of pi,the total surface area of a solid cylinder or radius 3cm and height 4cm

Answer 1

The total surface area of a solid cylinder can be found by adding the surface area of the top and bottom circles, and the lateral surface area:

Surface area of top and bottom circles = 2πr^2
= 2π(3cm)^2
= 2π(9cm^2)
= 18π cm^2

Lateral surface area = 2πrh
= 2π(3cm)(4cm)
= 24π cm^2

Total surface area = 18π cm^2 + 24π cm^2
= 42π cm^2

Therefore, the total surface area of the solid cylinder is 42π cm^2.