Math, asked by Zara7895, 1 month ago

the circumference of a cylinder is 25.12 cm and the height is 8 cm what is the volume

Answers

Answered by sharanyalanka7
6

Answer:

Volume of the cylinder = 401.55 cm³

Step-by-step explanation:

Given,

Circumference of a Cylinder = 25.12cm

Height of the cylinder(h) = 8cm

To Find :-

Volume of the Cylinder

Formula Required :-

Volume of the Cylinder = πr²h

Solution :-

Circumference of a Cylinder = 25.12cm

2πr = 25.12

2 \times  \dfrac{22}{7}  \times r = 25.12

 \dfrac{44}{7}  \times r = 25.12

r = 25.12 \times  \dfrac{7}{44}

r =  \dfrac{175.84}{44}

radius(r) = 3.996cm

Volume :-

Volume of the Cylinder = πr²h

 =  \dfrac{22}{7}  \times (3.996){}^{2}  \times 8

 =  \dfrac{22}{7}  \times 15.97 \times 8

 =  \dfrac{2810.88}{7}

= 401.55 cm³

Volume of the cylinder = 401.55 cm³

Answered by Anonymous
3

Answer:-

  • Valume of the cylinder is 401•55 cm³.

Step-by-step explanation:

Given that :-

  • circumference of cylinder is 25.12 cm.
  • height of cylinder is 8 cm.

To find :-

  • what is the volume.

Formula used :-

  • Valume of the cylinder = πr²h.

Where,

  • π = 22/7
  • r = radius
  • h = height

Let us assume :-

  • the radius of cylinder is r.
  • the volume of the cylinder is V.

Finding the radius of cylinder :-

We know that,

  • circumference of cylinder = 25.12 cm.

➪ 2πr = 25•12 cm.

➪ 2×22/7×r = 25•12 cm.

➪ 44/7×r 25•12 cm.

➪ r = 25•12×7/44 cm.

➪ r = 175•84/44 cm.

r = 3•996 cm.

Finding the volume of the cylinder :-

We know that,

  • Valume of the cylinder = πr²h.

➪ V = 22/7×(3•996)²×8 cm

➪ V = 22/7×15•97×8 cm

➪ V = 22/7×127•76 cm

➪ V = 2810•72/7

V = 401•53 cm³.

Hence,

  • the volume of cylinder is 401•53 cm³.
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