Math, asked by partapkaran371, 7 months ago

if a roller of diameter 7.5 cm and height 22.5 cm than find the volume​

Answers

Answered by rakshana1455
1

Answer:

265.17

Step-by-step explanation:

by apply the volume formula = πr^2h

π=22/7

r=7.5/2

h=22.5

it will be

22/7×7.5/2×22.5

where 2 and 22 get cancelled

it would be 11/7×7.5×22.5

the answer will be 265.17

Answered by Anonymous
1

GIVEN :-

  • diameter of cylinder = 7.5 cm
  • hieght of cylinder = 22.5 cm

TO FIND :-

  • volume of cylinder

SOLUTION :-

 \implies \boxed{ \rm{volume \: of \: cylinder \:  = \pi {r}^{2}h }}

NOW FOR RADIUS :-

 \implies \boxed{ \rm{radius=  \dfrac{diameter \: }{2} }}

 \implies \rm{ radius \:  =  \dfrac{7.5}{2} }  \:  \: cm

NOW VOLUME OF CYLINDER :-

  \implies \rm{ \pi \: ( \dfrac{7.5}{2} ) \: ( \dfrac{7.5}{2} ) (22.5)}

\implies \rm{ 3.14 \times \: ( \dfrac{7.5}{2} ) \: ( \dfrac{7.5}{2} ) (22.5)}

\implies \rm{ 3.14 \times   \: 316.4}

\implies \rm{ 3.14 \times   \: 316.4}  = 993.5

 \implies \boxed{ \boxed{ \rm{volume \: of \: cylinder \:  =993.5 \:  {cm}^{3}  }}}

OTHER INFORMATION :-

  • The area of the circle of the cylinder is πr²

  • The area of two circles will be 2πr²

  • The radius ‘r’ of a cylinder is the radius of its base. Now, the area of the rectangle = length × breadth. 2πr is the circumference of the circle and h is the height. Area of the curved surface will be = 2πr × h = 2πrh So the area of the cylinder will be: 2πr² + 2πrh, or

  • Total Surface Area of Cylinder = 2πr ( r + h )

  • Where r is the radius and h is the height of the cylinder (the distance between the two bases).
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