Question

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Volume and Surface Area of Solids
EXERCISE 15B
1. The diameter of a cylinder is 28 cm and its height is 40 cm. Find the
curved surface area, total surface area and the volume of the cylinder.
of​

Answer 1

Answer:

As diameter of the cylinder is 28cm therefore its radius must be 14 cm .

and also given that height of the cylinder is 40cm.

Now using this information we can easily calculate the total surface area lateral surface area and volume of the cylinder by using the formulas given below

$TSA = 2 \pi r( h+ r)$

And

$CSA \: = 2 \pi rh$

And

$Volume = \pi {r}^{2} h$

now using this formula we will calculate the required information which are total surface area, curved surface area and volume of the cylinder as shown in attachment.

Answer 2

Solution:

Given:

=> Diameter of cylinder = 28 cm

=> Radius of cylinder = 14 cm

=> Height of cylinder = 40 cm

To Find:

=> CSA of cylinder

=> TSA of cylinder

=> Volume of cylinder

Formula used:

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

$\sf{\implies Total\;surface\;area\;of\;cylinder=2\pi r(r+h)}$

$\sf{\implies Volume\;of\;cylinder=\pi r^{2}h}$

So, first we will calculate CSA of cylinder,

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

$\sf{\implies 2\times \dfrac{22}{7}\times 14 \times 40}$

$\large{\boxed{\boxed{\blue{\sf{\implies CSA\;of\;cylinder=3520\;cm^{2}}}}}}$

Now, we will find TSA of cylinder,

$\sf{\implies Total\;surface\;area\;of\;cylinder=2\pi r(r+h)}$

$\sf{\implies 2\times \dfrac{22}{7}\times 14(14+40)}$

$\large{\boxed{\boxed{\blue{\sf{\implies TSA\;of\;cylinder=4752\;cm^{2}}}}}}$

Now, we will find volume of cylinder,

$\sf{\implies Volume\;of\;cylinder=\pi r^{2}h}$

$\sf{\implies \dfrac{22}{7}\times (14)^{2}\times 40}$

$\large{\boxed{\boxed{\blue{\sf{\implies Volume\;of\;cylinder=24640\;cm^{2}}}}}}$