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3 years ago

Find the slant height l of the cone given the surface area S.

Mathematics

1 answer:

Oduvanchick [21]3 years ago

6 0

9514 1404 393

Answer:

15 cm

Step-by-step explanation:

The formula for the surface area of the cone is ...

A = πr² +πrL = πr(r +L)

The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...

126π cm² = π(6 cm)(6 cm +L)

21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm

15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm

The slant height is 15 centimeters.

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