Math, asked by maneravi519, 4 months ago

the base area of a cylinder is 20 square CM and the height is 5 CM what is the value of the cylinder​

Answers

Answered by vbts97047
3

Answer:

given,

base area= πr^2 = 20cm^2

height = 5cm

Step-by-step explanation:

volume= πr^2h

= 20*5

= 100cm^3

Answered by Anonymous
21

Appropriate question:

  • the base area of a cylinder is 20 cm² and the height is 5cm what is the volume of the cylinder

Given:

  • The base area of the cylinder is 20cm² and the hieght of the cylinder is 5cm

To Find:

  • The volume of the cylinder?

Solution:

We know that,

 \star \: { \underline{ \boxed{ \frak{volume \: of \: a \: cylinder = \pi {r}^{2} h}}}}

 \\

Where,

  • π stands for 22/7
  • R stands for radius
  • h stands for hieght

 \\

Here,

  • We have the hieght of the cylinder and the base area of the cylinder , we have to multiply the base area with the hieght to find the volume

{ \underline{ \frak{As \: we \: know \: that}}}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \star{ \underline{ \boxed{ \sf{base \: area _{(cylinder)}  = \pi \:  {r}^{2} }}}}

 \\

Substituting the values we get,

\\

{ : \implies} \sf\: volume _{(cylinder)} = base \: area \times hieght \\  \\  \\ { : \implies} \sf\: volume _{(cylinder)}  = 20 {cm}^{2}  \times 5cm \\  \\  \\ { : \implies} \sf\: volume _{(cylinder)}  =  {\boxed{ \tt{100 {cm}^{3} }}}

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

 \\

Therefore,

  • The volume of the cylinder is 100cm³

More to know:

  • Volume of a cube = side³
  • Volume of a cubiod = l × b × h
  • Total surface area of a cubiod = 2(hl+lb+bh)
  • Total surface area of a cube = 4(side)²
  • Curved surface area of the cylinder = 2πrh
  • Total surface area of a cylinder 2πrh + 2πr²
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