Question

A cylinder has a circumference of 12pie cm and a height that is half the radius. What is the total surface area of the cylinder

Answer 1

Answer:

Total surface area of the cylinder=$339.12cm^2$

Step-by-step explanation:

Circumference of the cylinder= $12\pi$

$2*\pi *r=12*\pi$

$r=12/2=6 cm$

Height of the cylinder =radius/2=3 cm

Total surface area of the cylinder =$2\pi rh+2\pi r^2$

As, $\pi =\frac{22}{7}=3.14$

Area of the cylinder:

                                      $(2*3.14*6*3)+(2*3.14*6*6)\\\\=(3.14*36)+(3.14*72)\\\\=113.04+226.08\\\\=339.12cm^2$

The total surface area of the cylinder= $339.12cm^2$