Math, asked by safi56, 4 months ago

height of cylinder 15 and csa is 660 cm find radius​

Answers

Answered by studylover001
3

Answer:

CSA of cylinder : 660cm²

2 x pie x r x h = 660

2 x 22/7 x r x 15 = 660

r = (660 x 7)/(22 x 15 x 2)

r = 7cm

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Answered by AestheticSoul
0

• Given

  • Height of cylinder = 15 cm
  • Curved surface area = 660 cm²

• To find

  • Radius of the cylinder

• Concept

  • We have the value of height of cylinder and CSA. By substituting thr values in the formula of CSA we will find the radius.

Solution

Using formula,

Curved surface area = 2πrh

where,

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

Substituting the values,

⟶ 660 = 2 × 22/7 × r × 15

⟶ 660 = 44/7 × r × 15

⟶ 660 = 660/7 × r

⟶ (660 × 7)/660 = r

⟶ 7 = r

Radius of the cylinder = 7 cm

___________________________________

Let's verify -

Curved surface area of cylinder = 660 cm²

• Radius of cylinder = 7 cm

• Height of cylinder = 15 cm

Curved surface area of cylinder = 2πrh

⟶ 2 × 22/7 × 7 × 15

⟶ 2 × 22 × 15

⟶ 44 × 15

⟶ 660 cm²

Curved surface area of cylinder = 660 cm²

Hence, verified.

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