Find the height of a cylinder whose diameter is 42 cm and the area of its curved surface is 11,880 sq. cm​

Question

Find the height of a cylinder whose diameter is 42 cm and the area of its curved
surface is 11,880 sq. cm​

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Ngọc Khuê 3 months 2021-07-28T14:35:26+00:00 1 Answers 1 views 0

Answers ( )

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    2021-07-28T14:37:14+00:00

    9514 1404 393

    Answer:

      90 cm

    Step-by-step explanation:

    The lateral area of a cylinder is given by the formula …

      LA = πdh

    Filling in the given information, we can solve for h:

      11,880 cm^2 = π(42 cm)h

      h = 1180 cm^2/(42π cm) ≈ 90.0 cm

    The height of the cylinder is about 90 cm.

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