Question

A right cylinder has a radius of 3 and a height of 12 what is the surface area

Answer 1

Answer:

$282.74\:cm^2$

Step-by-step explanation:

It is given that:

• The radius of the cylinder = 3 cm
• The height of the cylinder = 12 cm

The total surface area of the cylinder = The area of the two circular faces + The area of the body in between:

$(2*\pi*r*h)+(2*\pi*r^2)\\=(2*\pi*3*12)+(2*\pi*3^2)\\=90\pi\\=282.74\:cm^2$

Answer 2

Answer: Surface area of Cylinder = 282.86 sq-unit

Solution:

Total surface area of Right circular cylinder

$= 2\pi \: r \: h +2 \pi \: {r}^{2} \\ \\ r = 3 \: unit \\ \\ h = 12 \: unit \\ \\ TSA = \frac{2 \times 22}{7} \times 3 \times 12 + \frac{2 \times 22}{7} \times 9 \\ \\ = \frac{1584}{7} + \frac{396}{7} \\ \\ = \frac{1584 + 396}{7} \\ \\ = 282.86 \: {unit}^{2}$