Question

find the curved surface area and total surface area of cylinder the diameter of its base is 14 cm and height is 40 cm​

Answer 1

Answer:

As given that diameter of the base of the cylinder is 14cm so radius of the base will be 7 cm.

And also given that height of the cylinder age 40cm.

So we can calculate curved surface area and total surface area by applying the formulas as shown below:-)

$CSA = 2 \pi rh \\ = 2 \times \frac{22}{7} \times 7 \times 40 \\ = 1760 {cm}^{2} \:\:\:\:\:\:\:\:\:\:\:\:\:\: \boxed {\boxed{Answer}}$

And

$TSA = 2 \pi r(h + r) \\ = 2 \times \frac{22}{7} \times 7(7 + 40) \\ = 44 \times 47 \\ = 2068 {cm}^{2} \:\:\:\:\:\:\:\:\:\:\:\:\: \boxed{ \boxed{Answer}}$

total surface area of the cylinder will be

2068cm^2 ;and curved surface area will be 1760 cm^2.

Answer 2

Solution:

Given:

=> Diameter of cylinder = 14 cm

=> Radius of cylinder = 7 cm

=> Height of cylinder = 40 cm

To Find:

=> CSA of cylinder

=> TSA of cylinder

Formula used:

$\sf{\implies Curved\;surface\;area\;of\;cylinder=2\pi rh}$

$\sf{\implies Total\;surface\;area\;of\;cylinder=2\pi rh+2\pi r^{2}}$

Now, firstly we will find CSA of cylinder.

$\sf{\implies Curved\;surface\;area\;of\;cylinder=2\pi rh}$

$\sf{\implies 2\times \dfrac{22}{7}\times 7\times 40}$

$\sf{\implies 2\times 22\times 40}$

$\sf{\implies 1760\;cm^{2}}$

∴ CSA of cylinder = 1760 cm²

Now, we will find TSA of cylinder.

$\sf{\implies Total\;surface\;area\;of\;cylinder=2\pi rh+2\pi r^{2}}$

$\sf{\implies 1760+2\times \bigg(\dfrac{22}{7}\times 7\times 7\bigg)}$

$\sf{\implies 1760 + 2(22\times 7)}$

$\sf{\implies 1760+2\times 154}$

$\sf{\implies 1760+308}$

$\sf{\implies 2068\;cm^{2}}$

∴ TSA of cylinder = 2068 cm²