Question

r = 14cm
h = 7cm

Find CSA & Volume of cylinder ​

Answer 1

In context to question asked,

We have to determine the CSA and Volume of the cylinder.

As we know that,

$CSA\:of\:Cylinder = 2 \Pi rh$

While the volume of cylinder is,

$Volume = \Pi r^2h$

As per question,

We have,

r = 14 cm

h = 7 cm

So, putting the values given in the question in above expression,

We will get,

$CSA = 2\Pi r h\\=>2\times \frac{22}{7} \times 14 \times 7\\=>CSA = 616\:cm^2$

While the volume of cylinder will be,

$Volume = \Pi r^2 h\\=>Volume = \frac{22}{7} \times 14^2\times 7\\=>Volume = \frac{22}{7} \times 14 \times 14 \times 7\\=>Volume = 4312 \:cm^3$

Answer 2

Cylinder - Mensuration

1. If $r$ be the radius and $h$ be the height of of a solid cylinder, then the curved surface area of a solid cylinder is given by,

$\boxed{CSA = 2\pi rh}$

2. If $r$ be the radius and $h$ be the height of of a solid cylinder, then the volume of a solid cylinder is given by,

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

Solution:

I) CSA of a Cylinder:

Given that, the radius and height of a solid cylinder is $14\;\rm{cm}$ and $7\;\rm{cm}$ respectively.

We know that,

$\boxed{CSA = 2\pi rh}$

By substituting the given values in the formula, we get the following results:

$\implies CSA = 2 \times \dfrac{22}{7} \times 14 \times 7$

$\implies CSA = 2 \times 22 \times 14$

$\implies CSA = 44 \times 14$

$\implies \boxed{CSA = 616}$

Hence, the curved surface area of a solid cylinder is 616 cm².

$\rule{90mm}{2pt}$

I) Volume of a Cylinder:

Given that, the radius and height of a solid cylinder is $14\;\rm{cm}$ and $7\;\rm{cm}$ respectively.

We know that,

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

By substituting the given values in the formula, we get the following results:

$\implies Volume = \dfrac{22}{7} \times (14)^2 \times 7$

$\implies Volume = 22 \times 14 \times 14$

$\implies \boxed{Volume = 4312}$

Hence, the volume of a solid cylinder is 4312 cm³.