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