find the height of the cylinder of curved surface area of a cylinder is 540 CM square and radius is 14 CM
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ANSWER:
height is 6.14 cm
STEP-BY-STEP EXPLANATION:
Given that the height of the cylinder of curved surface area of a cylinder is 540 cm² and radius is 14 cm.
We need to find out the height of the cylinder.
Let's say that the height of the cylinder is x.
We know that,
Curved surface area of cylinder = 2πrh
Substitute the values in the above formula,
→ 540 = 2 × 22/7 × 14 × x
→ 540 = 2 × 22 × 2 × x
→ 540 = 88x
Divide by 88 on both sides,
→ 540/88 = 88x/88
→ 6.136 = x
→ x = 6.14 (approx.)
Therefore, the height of the cylinder is 6.14 cm.
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