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What is the height of a conical tin having radius of the base as $30 cm$ and its slant height as $50 cm$ ?

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20 cm

30 cm

40 cm

50 cm

answer is C.

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Detailed Solution

Given- radius of the base of the conical tin =

30 cm

.
Slant height of the conical tin =

50 cm

.
By using Pythagoras theorem,

⇒ l 2 = r 2 + h 2 ⇒ (50) 2 = (30) 2 + h 2 ⇒ 2500 = 900 + h 2 ⇒ h 2 = 2500 − 900 ⇒ h 2 = 1600 ∴ h = 40 cm

Thus, the height of the conical tin is 40cm.
Hence, option 3 is the correct option.

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