Question

Find the curved surface area of a right circular cylinder circumference of whose base is 77 cm and the height is 6 cm​

Answer 1

Given,

• Circumference = 77 cm

• Height = 6 cm

$\boxed{\bold{\sf{Circumference \ of \ a \ circle=2 \pi r}}}$

Applying the values to the equation:

$\sf{\implies 77=2 \pi r}$

π can be written as  $\dfrac {22}{7}$.

 

$\sf{\implies 77=2 \times \dfrac{22}{7} \times r}$

$\sf{\implies 77 \times 7=2 \times 22 \times r \ \ [Dividing \ both \ sides \ by \ 11]}$

$\sf{\implies 7 \times 7=2 \times 2 \times r}$

$\sf{\implies 49=4r}$

$\sf{\implies r=\dfrac{49}{4}}$

 

$\boxed{\bold{\sf{Curved \ Surface \ Area \ of \ a \ cylinder=2 \pi r h}}}$  

Applying the values to the equation:

$\sf{\implies CSA=2\times \dfrac{22}{7}\times \dfrac{49}{4}\times 6}$

$\sf{\implies CSA=11 \times 7 \times 6}$

$\sf{\implies CSA=462 \ cm^2}$

$\huge{\boxed{\bold{\sf{Curved \ Surface \ Area=462 \ cm^2}}}}$

Answer 2

Answer:

462 cm^2 is the correct answer

Step-by-step explanation:

462 cm^2 is the correct answer