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Andrew [12]
3 years ago
9

Find the height of a cylinder whose diameter is 42 cm and the area of its curved

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

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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