Question

radius & height of right circular cylinder is 14cm,21cm find C.S.A, T.S.A & volume​

Answer 1

Answer:

radius of the cylinder (r)  = 14 cm

height of the cylinder (h) = 21 cm

CSA = ?

TSA = ?

Volume = ?

CSA = $2\pi rh$

= $2X\frac{22}{7} X14X21$

= 2 x 22 x 2 x21

CSA = 1848 $cm^{2}$

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

= $2X\frac{22}{7} X14 (14+21)$

= 2 x 22 x 2 (35)

TSA = $3080 cm^{2}$

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

= $\frac{22}{7} X (14)^{2} X 21$

= $\frac{22}{7} X 196 X21$

= 22 x 28 x 21

volume = 12936 $cm^{3}$

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Answer 2

Answer:

• CSA of the cylinder is 1848 cm².
• TSA of the cylinder is 3080 cm².
• Volume of the cylinder is 12936 cm³.

Step-by-step explanation:

Given that:

• Radius of a right circular cylinder = 14 cm
• Height of a right circular cylinder = 21 cm

Solution:

Finding CSA of the cylinder:

As we know that:

• Curved surface area (CSA) of cylinder = (2πrh) sq. units

Substituting the values,

$\sf{CSA=\left(2\times\dfrac{22}{7}\times14\times21\right)cm^2}$

Reducing the numbers,

$\sf{=\left(2\times22\times2\times21\right)cm^2}$

Multiplying the numbers,

$\sf{=\left1848\;cm^2}$

Hence, CSA of the cylinder is 1848 cm².

Finding TSA of the cylinder:

As we know that:

• Total surface area (TSA) of cylinder = {2πr(h + r)} sq. units

Substituting the values,

$\sf{TSA = \left\{2\times\dfrac{22}{7}\times14\left(21+14\right)\right\}cm^2}$

Solving the small bracket,

$\sf{= \left\{2\times\dfrac{22}{7}\times14\times35\right\}cm^2}$

Reducing the numbers,

$\sf{= \left\{2\times22\times2\times35\right\}cm^2}$

Multiplying the numbers,

$\sf{= 3080\;cm^2}$

Hence, TSA of the cylinder is 3080 cm².

Finding volume of the cylinder:

As we know that:

• Volume of a cylinder = (πr²h) cubic units

Substituting the values,

$\sf{Volume=\left(\dfrac{22}{7}\times14^2\times21\right)cm^3}$

$\sf{=\left(\dfrac{22}{7}\times14\times14\times21\right)cm^3}$

Reducing the numbers,

$\sf{=\left(22\times2\times14\times21\right)cm^3}$

Multiplying the numbers,

$\sf{=12936\;cm^3}$

Hence, volume of the cylinder is 12936 cm².