Question

A cylindrical milk can has a diameter of 14 cm and a height of 22 cm. What is the surface area of the material of which it is made?

Answer 1

Answer:

surface area of cylinder : 2πr(r+h)

r=d/2

14/2 = 7cm

2πr(r+h)= 2×22/7×7(7+22)

=1275.9

Answer 2

Given:-

• Diameter of a right circular cylinder = 14cm

• Height of a right circular cylinder = 22cm

To find:-

• Surface area of the material of which it is made.

Formula Used:-

• ${\boxed{\bf{TSA\: of\: cylinder \:= 2\pi r(h+r)}}}$

• ${\boxed{\bf{Radius \:= \dfrac{Diameter}{2} }}}$

Solution:-

Firstly,

$\sf :\implies\:Radius \:= \dfrac{Diameter}{2}$

$\sf :\implies\:Radius \:= \dfrac{14}{2}$

$\sf :\implies\:Radius \:= 7\:cm$

Now Using Formula,

$\sf :\implies\:Total\: Surface\: Area \:= 2\pi r(h+r)$

Putting values,

$\sf :\implies\:TSA\: of\: cylinder \:= 2\times\dfrac{22}{7}\times 7(22+7)$

$\sf :\implies\:TSA\: of\: cylinder \:= 2\times 22\times 29$

$\sf :\implies\:TSA\: of\: cylinder \:= 44\times 29$

$\sf :\implies\:TSA\: of\: cylinder \:=1,276\:cm^2$

Hence, Surface area of the material of which it is made is 1,276cm².

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More Formula for Cylinder:-

• $\bf Volume \:= \pi r^2 h$

• $\bf Curved\: Surface\: Area \:= 2\pi rh$

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