Question

the total surface area of a cylinder of base diameter r and height 2r is ​

Answer 1

Answer:

Step-by-step explanation:

Diameter = r =====> radius=r/2

TSA = 2*pi*r*(r+h)

= 2*pi*r/2*(r/2+2r) ———> 2 cancel

= pi*r*(5r/2) ——-> LCM of bracket

pi* 5r^2

= ——————-

2

Answer 2

The total surface area is $\dfrac{5r^2\pi }{2}$

Step-by-step explanation:

Since we have given that

Diameter = r

Radius = $\dfrac{r}{2}$

Height = 2r

So, The total surface area of cylinder would be

$2\pi rh(r+h)\\\\=2\dfrac{22}{7}\times \dfrac{r}{2}(\dfrac{r}{2}+2r})\\\\=\pi r(\dfrac{r+4r}{2})\\\\ =\pi r\dfrac{5r}{2}\\\\=\dfrac{5r^2 \pi}{2}$

Hence, the total surface area is $\dfrac{5r^2\pi }{2}$

# learn more:

The diameter of the base of right circular cylinder is 2r and its height is h. What is the total surface area of cylinder?

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