Question

Calculate the total surface area and lateral surface area
of the given cylinder;
h=7cm
5 Marks
r=7cm​

Answer 1

Answer:

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Answer 2

$\sf{\underline{Given}}$

• Height of the cylinder (h) = 7 cm
• Radius of base (r) = 7 cm

$\sf{\underline{To\:Find}}$

• Total Surface Area
• Lateral Surface Area

$\sf{\underline{Solution}}$

Height = 7 cm

Radius of base = 7 cm

$\sf{LSA\:of\:a\:cylinder = 2\pi rh \:sq.units}$

= $\sf{LSA = 2\times \dfrac{22}{7}\times(7)^2\times7}$

= $\sf{LSA = 1078\:cm^2}$

Now,

$\sf{TSA\:of\:a\:cylinder = 2\pi r(r+h)\:\:sq.units}$

= $\sf{TSA = 2\times\dfrac{22}{7}\times7(7+7)}$

= $\sf{TSA = 44\times7\times14}$

= $\sf{TSA = 4312\:cm^2}$

_________________________________________

$\sf{\underline{More\:Information}}$

• $\sf{Volume\:of\:cylinder = \pi r^2h\:\:cu.units}$
• $\sf{TSA\:of\:a\:cylinder = 2\pi r(r+h)\:\:sq.units}$
• $\sf{LSA\:of\:a\:cylinder = 2\pi rh \:sq.units}$

$\sf{\underline{Note}}$

• LSA stands for Lateral Surface Area.
• TSA stands for Total Surface Area.
• Lateral Surface area is also known as Curved Surface Area (CSA).