Question

The volume of a right circular cylinder is 3080cm cube and the radius of the base is 7cm. Find the curved surface area of the cylinder

Please tell answer ​

Answer 1

Answer:

curved surface area of the cylinder is 880 sq.cm.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given:-

• Volume of a right circular cylinder = 3080cm³

• The radius of the base = 7cm.

To Find:-

• The curved surface area (CSA) of the cylinder.

Solution:-

Radius of the cylinder (r) = 7cm

Let the height of the cylinder be " h "

Volume of the cylinder = 3080

$\sf \implies\pi {r}^{2} h = 3080$

$\sf \implies \dfrac{22}{7} \times {7}^{2} \times h = 3080$

$\sf \implies 22 \times 7 \times h = 3080$

$\sf \implies 154 \times h = 3080$

$\sf \implies h = \dfrac{3080}{154}$

$\sf \implies h = 20$

$\sf \therefore Height \: of \: the \: cylinder \: (h) = 20cm$

Now, let us find the CSA of the cylinder

$\sf CSA \: of \: a \: cylinder = 2 \pi rh$

$\sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times \dfrac{22}{7} \times 7 \times 20$

$\sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 22 \times 20$

$\sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 880cm^2$

$\underline{\boxed{\sf \therefore CSA \: of \: the \: cylinder = 880cm^2}}$